question
@AZ
Our scale is 1 inch to 2.5 inches This basically means: if we draw something that is 1 inches, that the actual object is 2.5 inches
16 times 2.5 is 40, so the width would be 40
They give you the width is 16 inches and want to know how much the actual size is
but they didn't give the length
\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 16 times 2.5 is 40, so the width would be 40 \(\color{#0cbb34}{\text{End of Quote}}\) Please refrain from giving direct answers.
\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ They give you the width is 16 inches and want to know how much the actual size is \(\color{#0cbb34}{\text{End of Quote}}\) so how do you find the actual size
welll, i didn't give a direct answer
Remember what we've been doing so far? We have to make a proportion 1 inch is actually 2.5 inches 16 inches is actually ??? inches
1/2.5=16/x, that would be the proportion
Yes!!
Oh wait you're not the person who asked the question haha
lol
and then multiply each side by x, which would result in x/2.5 = 16 then multiply 16 by 2.5 to separate the x
which is 40
az can you explain
lol
sure let's forget about all the units since they're all the same do you know why scale drawings are important? We want everything to be in that same proportion so like imagine if I was an artist and I was drawing a house like this: |dw:1614174522467:dw| Doesn't that front door look really funny? It's way too big for a house
so we use proportions to keep everything the size that it should be imagine you're drawing a person, if you draw their nose to be twice the size then it'll just look funny, right? so when you're trying to keep all the ratios the same, we want to keep it consistent
yeah
So in your question, if the actual length is 2.5 then we draw it as 1
and that way everything will look correct
So we use proportions to do that So draw it with a length of 1 if the actual size is 2.5 and then your question says we drew it as 16 inches, so what is the actual size?
40 inches
And here we have a proportion now \(\dfrac{1}{2.5} = \dfrac{16}{x}\) and we solve for this 'x'
And that's correct!
So now they're telling us the actual height and want us to calculate what we draw it as So we have \(\dfrac{1}{2.5} = \dfrac{y}{15}\)
ok
cross multiply it just like how you've been doing |dw:1614175545315:dw|
\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ cross multiply it just like how you've been doing Created with RaphaëlReply Using Drawing \(\color{#0cbb34}{\text{End of Quote}}\) congrats - good job - explained like a math teacher - suppose you r a math teacher really ...!
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