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Math 7 - Module 1D - Lesson 18

Added Jan 13, 2021 •

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Finding CORRESPONDING Lengths Given a length AND (by finding) the Scale Factor (SF) Original Measurement X Scale Factor = NEW Measurement

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show length from a scale drawing lesson 18 so you were going to find what the real length with the real measures are based on this drawing right here so let's read it first example one basketball at just what Vincent proposes an idea to the student government to install a basketball hoop along with a court marked with all the shooting lines and boundary lines at his school students to use at recess he presents a plan to install a half court design as shown below right here after checking with the school administration he is told that it will be approved if it fits on the empty lots that measures 25 ft x 75 ft on the school property will the lot be big enough for the court he plan to keep land explain yes go to the bath Weaver camera on though so here is a diagram a pretty much a little blueprint and that's what a diagram it's a blueprint it's a blueprint of the basketball courts going to look like but look at this if you print it out and fall if you have that she'll think you're not here. Here's actually 2 in is an inch and 2/3 what is it in real life so that is our main goal this lesson so before I do that people that do not I'm saying you're fine I don't see faces on her I don't see cameras on I am removing students right now so you can try and Simon the bathroom I see a lot of ceilings so here is a scale drawing and when's that so you have a story that gives you a little bit of information so we have this huge plot is huge parking lot that you want to see it when we don't have its parking lot they want to see if we can make a basketball court on when is we can't draw we can but we don't have a piece of paper big enough to make a 25 by 75 feet so even though it's not going to be that you should draw we know it's going to be a rectangle draw a rectangle that represents this right here so look at this we have this rectangle this is alongside this is the short side so let's make a picture that kind of matches so we can use it correspond all our parts with so we know the short side is 25 so here's a short side on this one so let's match it up with this one this is 25 ft in real life and the long side is 75 ft in real life we want to see if this diagram if we actually made this basketball court would it fit in here and that's our main goal so we got matching parts right here but before we do any Twitter code calculations I'm going to show you you don't need calculations or some type of formula actually solve this you can actually do this with barely any little math but when I say barely any little you still need to use what's called pretty much logic is math thinking if you just think it through you can actually do this with very little calculation we have right here the scale that's different from the scale factor I'm going to come back to scale factor later the scale tells you what your diagram represents real life with one in on this diagram but this is 2 in this is 1 2/3 inches 1 inch on this diagram corresponds with 15 ft in real life before I move on for those that remember from the last lesson in the before what does correspond mean one inch corresponds with 15 ft what does correspond type in that's part of your participation right there type in type in the chat so I can remember only I see it it's wrong I just want to see what you were up to say good I'll take that I've been in but in the chat what does correspond mean correspond what does correspond gas. That's actually a very good one all of them are very good why you guys got great answers I liked a lot of them fix that so one answer I never thought of her had a fuse in it so one person right here says all right place where I belong or I like this one we have to multiply two so one one in to make it bigger has to multiply to get multiply to get 250 is a great response that's the first one I never thought of that that's actually good one but let's look at this let's forget all that math right now but Lodi I said relates to matches with equals equals yes and no one in in Rio does not equal 15 ft so it relates to is closed that I did is closed 1 in connect to matches with 15 ft so equal I get what you're saying but master but let's look at this right here so we have this concept one in equals 15 ft so I'm going to make an actual drawing so on maps specially on the legend the map you can kind of figure out how how the distance between cities based on this concept that use it right here also so here's one inch 1in is about here to hear if I took a ruler that's one inch here here is one inch but in real life it says that's supposed to be 15 ft so we want to see how many inches now look at this right here see I kind of messed up but this is supposed to be two in if I cut it in half if I cut it in half right there here to hear is 1 in and then here to here is another inch together that makes two and I want you to think about it like Legos most expensive thing about a Lego is actually the instructions cuz they tell you how to connect everything together cuz you can buy those that the generic blocks at the domestic. cheaper than buying you know the specific thing if you want to build your your your your Harry Potter Hogwarts Castle that's a lie but you can buy a bunch of Grey pieces they sell them in big buckets what's that you have instructions and you have your stressing out but you got out of that whole your junk pile of extra Lego pieces from all your other sets and you right here so I need a two-inch-long Lego piece but you don't have that anymore what you realize though is I can find two pieces if I put it together that matches the same length and that's what this concept is if I cut two inches in half I have one in and one in and what do we say one in how is that in real life that is 15 feet in real life so 15ft 15 ft use that concept of a Lego and yes you have it how long is this in real life then if 1 in is 15 ft and 1 in 15 how long in real life is too in type it in type it in type it in good correction yeah 15 feet and 15 feet together as a Lego makes one long piece I want a couple more people what's the length type it in put it in the chat so I know you've been attention or at least thinking excellent so yes here to here is 15 ft here to hear is 15 feet but together if we put the pieces together 30 feet long so 2 in is 30 ft long did we actually do any calculations a little bit what you don't realize it's a mental math but yes 30ft let me write let's write that down so too in is 30 in real life Pinellas look at this one let's look at this one right here this is one and two thirds in so fractions were people freak out you need to not bother to know it's a fraction though I don't know what to do just use logic and you'll be able to figure out what it is here to here so if one and two thirds let's stay here to hear is this is one in this is about one in Social Security here 1 in we already know what 1 inch equals 1 inch equals 15 ft so that means here to here and I don't want exact colors use this one here is 2/3 inches what is 2/3 inches is a fraction but that's why you need to think what's a fraction a fraction is something cut up into equal pieces this fraction is cut up into how many pieces so it's cut up into three equal pieces and I only want two of them that's what the top number represents the bottom number represent how many equal pieces we got the top number represents how many pieces we actually are about so let's take one in one in that one right there let's take that one inch and cut it up into three equal pieces think about this you have a candy bar you have to freeloading bestfriends next to you this is fine but then somehow your mom taught you to share and share alike if you go pieces so you get an equal share your freeloading friend to the left gets an equal share your freeloading printed right gets an equal share she's pissed off right now cuz she's just having some flashbacks of friends just free loading offer you know her her Nestle Crunch bar don't be dumb what's the only candy bar you don't share that Bart Simpson said you don't share about finger don't lay a finger on my Butterfinger but everything else you're going to share equally let's cut it up into three equal pieces so here's one piece of the two and three together yes you can leave your camera on go to bed now if I cut it up in the three notice if I put them together I get one whole piece that's still one whole candy bar before I'm just Cuttin it up right now putting marks and say these are the three spots if the whole thing is 15 members here to here in real life is 15 ft and I am taking this one inch and cutting up into three if this whole thing is supposed to be 15 ft long and I cut it into three equal pieces what is each little piece how long is each little piece if the whole thing is supposed to be 15 type in the chat I want to see who knows I want to see who knows give me an answer if the whole thing and explain it slower if from here to hear that's how long is one whole piece is 15 ft and I cut it up into three equal pieces how long is each little piece think about that I got 15 and I cut it up into three equal pieces correct correct and correct all three of your correct so far I want more people to think about it I got 15 minutes 50 long we gotta share equally for our freeloading friends think about it if I take 15 ft and I cut it up into three many is that bring up when you share correct when you share What What In Your sharing equally what are you doing with your portion what are you doing what Opera is that yes correct correct and correct you're dividing yes so if I'm taking 1 inch or 15 ft and I am dividing it into three equal pieces I'm taking 15 / 3:15 / 3 each one of these is 555 and 5 each one of these is a third let's put that there on a number line here's the beginning here 0 ears one hole 01 3rd 2/3 + what's 3/3 3/3 that's one whole and one whole represent 15 ft look at this more logic here notice is not really doing super super math here I want how many I want 2/3 I don't want one whole I want two of these sections Sears 1/3 or 2/3 what is the length is this color what is the length from 0 to 2/3 look at that Lego pieces again if here to hear is 5 here to hear is 5 here is how long excellent and so 2/3 is 10 feet has put that right here let's look at this right here the basketball court is it going to be 20 30 ft long by let's look at this look how long it is if this two thirds in this one in 10 feet and 5th beat the whole length of this thing is 25 ft here's the long side short side look at this right here the long side is 30 ft the long side in the parking lot is 75/2 of 75 is 37.5 I think right yes that would be 37.5 but that's more than I need so 30 ft Island about here that's going to be 30 ft how tall does the basketball court need to be there in 25 years 25 even though it doesn't look like it your basketball court fits in this try here even though it's kind of a weird shape is off that's alright this is a new homework yes but this is an example is not the homework so yes you're basketball court will fit in on this lot how does did I actually do any calculation formula type stuff that I've been telling you guys to do know this is just thinking this is logic thinking there's there's actually a term to describe this what we use right here these are not like that's a number line but a number line can be translate to what's called a bar graph or a tape measure looks like we usually come measuring tape and cutting things up so we actually use that a barber like I said that's why you I call a Lego method treated like Legos and you can actually use this to fit your using your big brain not mine to think it through this is logic what you guys don't realize this you work right here this is math work now this right here is always technically considered easy method the easy method always involves more work it's a bunch of little small simple steps that you keep on doing over and over again till you get your answer but with that said the harder method is always the quicker method and involves the least amount of work but is it always really hard no we call it harder cuz compared to this it's harder now I'm actually going to show you how to use the Cornucopia math techniques to have a figure out a way to do it so what you need to figure out is what's called scale factor zoom out and we got all this that's too far now all right so let's figure out the scale factor the scale factors always comes from the scale drawing the scale factor tells you if going to be bigger or smaller remember if it's a fraction less than one it's a reduction if it's bigger than one it's an enlargement so the scale factor is a number it tells you exact how much it shrinks or Grows by so the scale factor is a fraction SF scale factor and how do you figure that out if it's a constant of proportionality which is y over X but I'm not going to write it down I'm saying it k equals y over x k is the variable for the scale factor that we're not putting that in there I want you to Pho solve this and know that the same thing scale factor is this you just make a fraction made up of this it is the real life over the. diagram and I'm talking about measures to talk about the measure so let's look at this right here the scale drawing 1 in in the drawing corresponds to 15 ft in Rio life so the scale factor right here is real life which is 15 over 1 inch in the diagram that's what it rip is it a diagram 15/1 which is the same thing as 15 and what do you do with this imma show you how simple it is to find a new number compute the actual lengths from the scale drawing that means we're trying to find the real life number from the diagram drawing and here it's this simple right here diagram measurements find the scale factor equals your real life measurements Mr eazi and we're going to redo this as an organized set a note for those guys that say yes we do have a Can-Am support and will do the homework there in 10 10 Derek so you're so easy so the heart of the heart of the method that the less work you do cuz all you do is organize and it's not that hard so remember what do we do last lesson it said organize your thoughts in a t-chart here is a t chart we take the diagram measurements by the scale factor and we get our real life number measurements so let's look at our measurements okay we got diagram 2 in to inches and on the other we have 1 2/3 inches look at how easy this is if you organize your thoughts and the teacher it's diagram and this line represents what you do with the scale factor you take your diagram measurement on the scale factor that equals a real life true ties what's our scale factor 15 two times 15 what is that in Real Life 2 * 15 that is equal to 30 what 30 ft so weird 1 2/3 inches * 15 we don't like mixed numbers change it to an improper fraction so I'm going to do a mini lesson again how to change an improper mixed number preparation you take your denominator which is the bottom number multiply to your whole number and then add it to your numerator and you have a fraction over three so it's still going to be a fraction over 3 3 * 1 is 3 3 + 255 / 3 5 / 3 * 15 that's our scale factor fraction you can change any number into a am I putting it over one I'll look at this are scale factors 15/1 so and that's the thing you need to know when do I use my scale factor as a number versus my scale factor as a fraction that's this is Mastery so we're going to do some more 5 * 15 that is equal to 75 3 * 1 is 3 so you have this fraction 75/3 doesn't match but yes it does right here imma give people chance to catch up on copying the stuff now for those that are paying attention 75/3 what's another way of reading or writing set 5/3 what I'm saying is what does this mean right here what is another way for saying that fraction line type it in you gave me the answer you were correct what's another way of saying 75 / 3 75 fraction line 3 what's another word for the fraction line correct mathematical numbers write your numbers write fractions another way of writing good division 75 / 3 25 look at that 30 25 look at this little method right here if I let's even include the formula look at all this work right here it was simple work super simple but that's a lot of jumping here and there Little Steps were as if you organized all your thoughts and you have no formulas and whatnot let's how much work it is so the corner quartz harder more stinky method always is shorter or as if you do want to do hard thinking it's a bunch of little small easy steps which one's better it's up to you it is literally up to you to decide which one's better my whole thing is I would prefer that you do this one but if you're stuck doing this one go ahead and I'm going to lay on the next one the next example the easy method is so much quicker than that she's a harder method for sometimes so let's go flip it over next page again if you need to print it up print it out if you can't print it out and you're just falling off Thunder notes the video will be available on the on my website so you could actually copy all the details but if you want to print up print out copy go to school go to the office they have it for you or call ahead, as Lopez college so you want to print it out and an example to this one is super simple and let's first do it here let's do it with the hard T chart going to court and then let's check using our markings to see how easy both methods are all right so let's go let me write down the steps first let's go right down the steps that you have a little recipe cookbook how to do this one step one find the scale factor that's SF I hope you find the scale factor record the diagram measurements in a t chart that sounds easy but it's actually one of them work the most complicated part cuz you need to know how to set up your T chart 3 to find real life measurements use the formula use the formula and the formula is this diagram measurement times scale factor equals real life measurement these three it sounds simple but some of the steps if you're not truly sure that's what makes it hard so let's make a t chart first while we'll find the scale factor let's find the scale factor so let's read the story first actually the diagram the diagram shown represents a garden so here's a garden all these extra blocks outside they're just there for you to look at the scale who look at this the scale is 1 centimeter for every 20 min so that's step one look at you find that so Step 1 or scale factor remember it is real life of orl real life in real life over diagram and so this right here how set up a scale factor Jean are all right here and that's reading which one represents real life which one represents a diagram that's the only hard let's read it again in the scale 1 cm for every 20 min you got to represent that's real life right there so 20-over 1 and I also write it as 20 cuz it again you might use a fraction one you might use the integer one all right we got our scale factor Step 2 let's make RT Charger diagram and real life this part is hard because most people realize you might not be able to fill in ever feeling what you can so far as when we record their original so let's go put that in here so in the diagram that's where we don't have unlike the last prom we don't have the numbers we really don't have the but here's the clue look at this each Square in the drawing measures 1 cm by 1 cm let me box out one square 1 cm x 1 cm one centimeter 1 cm so that's why these boxes are left here how many boxes high is the garden how many boxes High how many boxes High is it right now that's impossible box tool boxes three boxes for boxes high and if each boxes this is 4 cm for boxes high so 4 centimeters how long is our thank you all of you that Miss A so how long go count how many boxes how many boxes long is the garden 8 excellent so he's at 8 boxes that's 8cm cuz if we connect like Legos that's eight long 8 cm and step 3 use a pharmacist step 3 is actually filling out the rest of this teacher will use the pharmacist F3 let's see what what use blue are scale factors 20 so x 20 select a number three right there step three step three is inside stuff too so 4 * 28 20 * are scale factor 4 * 20 80 nice 8 x 2160 that's supposed to be in meters 80 cm wide 160 m long now let's look at the amount of work that's super small and compact so the best work is using the hardest work cuz it's all wished and it's so nice to me but now let's look at check our answers with the cortical easy long way and imma show you it's not that hard and it's just it's just as quick as this look at this this is Kia. 1 cm equals 20 M so 1 cm in real life is also 20 me like 20 years 121 that means that's 20 here's one to one that means that's 20 and there's another one to one right there that means that's 20 literally count it 20 40 60 80 that right there without using this weird formula that like some of you guys. Where did this come from just by counting pieces like they're Lego pieces stacked on each other find the number 20 40 60 80 that's alright your back so using that same idea count 8 centimeters is how many meters in real life let's count it was he's a so we could see so dear to here is 20 here to here is another 20 another 20 other another one another one so notice I'm not even counting I'm just labeling it now let's just count 20 40 60 80 all right I'm going to stop somebody said why am I kind of like that alright so we do that one centimeter is 20 meters in real life and so I just wrote 24 every little box so matches up corresponds with and like Lego pieces just think about Lego pieces you're combining them together and if you got different Lego piece you got to count the dots to see how long it is so I'm just adding on 20 each time so 20 another 20 would be 40 60 80 100 120 141 Look At That 160 was this any different than what we just stick no same thing good stuff there which one's better notice they're both actually the same this is less writing it organizes all your thoughts and it just follows like a recipe book and this right here you're just using logic and that that's the same amount of work it's easy work both of these are actually easy so it's up to you which one so this right here think about this just because you have the recipe doesn't mean it's going to be all good again I use this I think in another class you got a box of brown Duncan Hines or Betty Crocker instructions in the back of the book and my back of the box back in the Box just because you have instructions two people don't make that same that the cat the brownies don't come out the same for two different people cuz some did something different someone mixed it with a hand blender Summit mixed it with the hand the brownies come out differently someone tried to use milk instead of water in the brownies come out differently so just because you have your instructions doesn't mean it's going to come out right you need to understand what these instructions are asking for so let's do one more and then the next one after that you're going to do on your own but let's do example 3 let's look at this we follow wait wait hold on, I'll put this one back cuz we're to got this on the side why we write it we got to check list right here here's our order let's go Zoom Mouse tooth all right let's get it over that right now if it's a graphic designer is creating an advertisement for a tablet she needs to enlarge the picture given here to hear the picture given here so that point 2 5 in on the scale picture corresponds to one inch on the actual advertisement so this right here is just a little diagram scale picture of a tablet she want whoever is she yeah she wants to make an actual picture somewhere and actual size so if you guys go on bark or if you've been on but recently you got those any eyeglass ones you know the one that George Kittle Avenue what does promote and they have like these with the actual size of your glass here look at all that is 121 an actual size but then this right here is not so it's a diagram so what will be the length and width of the tablet on the advertisement so this is a shrunken down thing it just tells you here's the shape it once we want to enlarge this thing if you guys got the computer on a mouse or your trackpad if you go in the bottom corner of your window you can Dragon notice right here you can change the window size you make it longer if you drag another you make it taller but you just change the shape of your window right now that you're looking at so all of us that a computer screen you can drag it but if you go on the corner it drags both the length and the it's so it keeps the shape of the window she got she practice it right now if you put it on the corner you can actually zoom in and zoom out keeps the shape of your computer window you can't see me doing right now but I just did that but if you do it on the side do it on the side like I said if you drag this I doubt you can stretch it out longer but it keeps the same height the window shape change you can make it taller or shorter and this right here but if you go on the corner they both change so let's go with this right here first let's find the scale factor so 1 scale factor and we use the scale here's where it's from she needs to enlarge the picture given here so that .25 in on the scale picture corresponds to 1 inch on the actual advertisement remember scale factor equals real life over the diagram this is people make the first mistake this is Lex all right here read carefully and understand which is which she got two numbers .25 in and one in don't just look at the numbers look good with her first 2.2 5 on the scale picture corresponds with yes Lexile 1 inch in actual 1in in real life so one 1 in in real life matches with 0.25 in in the diagram are scale factor looks messed up right now I wouldn't play with this but you need to know how to change it all right I'm going to ask a I hear I want people to type in what is 0.25 as a fraction cuz I don't want to play with a decimal I'd rather play The Presence what is 0.25 as a fraction there's other ways to deal with this I want to do it this way you are correct other people correct Checker you last person check dolls but I'm not looking for one over 25 I want what is 0.25 as a fraction so let's ignore the top what is this decimal as a fraction 0.25 as a oh that one I'll take Diana but simplify simplify it so while you're working on this how do you change a decimal a fraction that was a mini lesson we went over and let's do it quickly so I'm going to rewrite 1 inch to change a decimal into a fraction you cover the decimal part and just read the number that's too 5 to 25 what and then you count the decimal places and read the decimal place portion that's 25 is in the hundredths position that ends in the hundredths 2500 so let's rewrite that as 25 hundredths of an inch but we want to simplify and that's the hospital so we want to simplify good you are crate down so 25 over 100 this is a mini lesson for those that still need this was less as one two and three how to simplify a fraction to make it an equivalent simpler looking fraction 25 over 100 there are a lot of different numbers I can / but do this look 25 and 100 I could / 100 I could / 5 each one of them / 5 5/5 is 1 so that's 2500 divided by 1 I'm just changing the way it looks not what it's worth so that's why I 25 over 100 is equal to 5/20 these are equal fractions what's 5/20 / 5 again 5 / 5 that's 120 divided by 5 is 4 1/4 25 / 105 / 20 1/4 those are equal fraction and it's always best to play with the simplest looking fraction which is that one right there so let's rewrite it as 1 and over 1/4 of an inch okay that still doesn't look good this was the last 2D really last two lessons in semester 1 how to simplify a complex fraction again change colors what does this line mean again besides calling it a fraction line what does that line mean good division what's changes to write it as division 1 / 1/4 dividing by fractions we don't like / fractions we like to change dividing fractions to multiplying by the reciprocal multiplying what's the Ricola 1/4 good flip it for 1 and technically that's just one time for the one which is for 4 that is our scale factor man look at all right so you guys are some of it has a lot of writing I'm just showing every little step yes a reciprocal and I wrote it was 1 * 4 is 4 but remember sometimes we need scale factor as a fraction that's why I wrote it is for one so both of these scale factor equals 441 scale factor Step 2 let's make our teeth chart diagram measurements real life measurements and some of you guys like this and I do suggest putting it on there put times a scale factor right in here so you don't forget all three parts diagram measure it down so let's go 1 1/8 inches 1 and 1/4 inch and what a what are we supposed to do with all of these to find the real life remember diagram measurement times a scale factor equals the real life that's how easy it is yes you can leave your camera though go ahead so we're going to have to multiply it by 4 so let's put a x 4 in between here and times for okay none of us like playing with mixed numbers so we had to change into an improper fraction so let's change it to an imp 4 fraction 8 * 188 + 1 is 9 9/8 * 4 / once or scale factor went to the fraction so let's make sure that's a fraction we know this is going to be a fraction but it over one so let's do change this right here to an improper fraction 4 * 1 is 4/4 + 150 over for almost done all you got to do is multiply your fractions I'm going to give you a second to make sure you know how to multiply fractions before I do it so 9/8 times for 5/4 x 4 we have a real life measurements right there so let's finish this up check your answer 9 * 4 36/8 * 180 is 36/8 in what is that will deal with that in a second look at this 1/5 * 4 24 x 1400 this 1zz 20 / 4 5 witches in real life it's going to be 5 so we screwed this one over look at it because we have our original measurements right here 1 and 1/4 we know that 5 corresponds to so in this diagram is 1 and 1/4 in real life in the advertisement this is going to be 5 in I know 5 goes with this one because we have our tea chart and we organize to make it correspond with matches up with let's check here though one and one inches simplify 6/8 and that's not fun so we can / / 4 / 4 I get 9 / 4 I get to nine 9/2 that is 4 and 1/2 so this right here is 4 and 1/2 inches in the actual advertising what's the hardest thing the scale factor once you have the scale factor man you put in the t-chart super easy but even though I say it's hard. So yeah you don't watch out watch out for your calculations watch out for your simplify that right there is the hardest thing that most people have to deal with so watch out for that you got all the other stuff right but that was a test you went from a answer to a B minus C Plus answers watch out for the arithmetic all right I'm going to read this next one to give you chance finished up and hurry up this is our last one right here you're going to do this mostly on your own but I will read this with you guys coming up Clinton planning time more than 15 minutes to do one problem all right let's look at this exercise right here so let's zoom in cuz it's a lot of guys think this is super hard but it's actually one of the easier problems we don't need to leave yet we have 15 minutes the story is Big the picture looks all funky but this is just here to trick you if you can read you can do this students from the high school are going to perform one of the acts from their upcoming musical at the atrium in the mall that's like the middle of the mall you know the big space the students wants to bring some of the set with them so that the audience and get a better feel this is the exercise before the Homer get a better feel of the whole production the backdrop of the backdrop that they want to bring has panels that measure 10 feet by 10 ft so it's a square jaw 10 foot square the students are not sure if they will be able to fit these panels through the entrance of the mall since the panel's need to be transported flat horizontal yes there is there's a cat weather for today they obtained a copy of the mall floor plan the blueprint shown below from the city planning office use the diagram to decide if the panels will fit through the entrance use we don't actually even need a ruler and I'm going to show you just using basic logic when are you going to do the T chart calculation you can do that later on your own cuz this one is you off and I'm going to describe how set it up what's your store wine store to hear the mall entrance in this map is 3/8 of an inch from here to see the light color here to hear is 387 in the atrium is right remind me to bring everything in here so we want to make sure that the panels can fit through here's the thing I don't care about these stores I need to make sure I can bring my stuff down this hallway so this store 1 store 2 that's fine the store one in store to is just here to mess with you just get rid of it do I care about this little space to know if I can actually bring the panels through this door it can fit through all when the hallway so we need to figure this out can a 10 foot by 10 10 ft by 10 ft door fit through here that's what we need to figure out so let's look at this here's the scale let's use logic and logical 1/8 of an inch represents four and a half feet in real life what look at this this is 1/8 how many eighths are here 3/8 think about logic I have one piece of eight I have three pieces of eight if I decide to cut this into three parts each part is one unit long 1/8 1/8 1/8 1/8 + 1/8 + 1/8 is 3/8 what's 1/8 stop the three equal parts noticed that I got 1/8 2838 what's 1/8 1/8 of an inch in real life is four and a half feet something to draw arrows and I'm going to write it as a decimal 4 1/2 is 4.5 vivisection right here that's four point five and look at this second right here on Arrow that's 4.5 in real life how long is the section how long is the door the front door to the mall in real life is each law section is 4 1/2 / 4.5 4.5 what is the total length in real life and with that you can actually say yes or no can the pieces of the stage V roof how big is stage 10 by 10 4 1/2 for 1/2 4 and 1/2 how long is that in real life and then you can figure that yes so if that's the length Canon 10 foot panel fit through it's a yes or no question and then the lights that's right here find the actual distance of the mall entrance a new kind of how do you show the work that's on you and determined yes or no down here be what is the scale factor what does it tell us you take this real life over diagram and make a scaled make the scale factor so take the time and do that on own I am going to go over this last one I'm going to go over this last section this last piece right here in academic support if you guys want to do the homework and academic support

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