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Mathematics 4 Online
daddysbabygirl:

question

daddysbabygirl:

@AZ

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

snowflake0531:

16 times 2.5 is 40, so the width would be 40

AZ:

They give you the width is 16 inches and want to know how much the actual size is

snowflake0531:

but they didn't give the length

Downpour17:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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.

daddysbabygirl:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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

snowflake0531:

welll, i didn't give a direct answer

AZ:

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

snowflake0531:

1/2.5=16/x, that would be the proportion

AZ:

Yes!!

AZ:

Oh wait you're not the person who asked the question haha

snowflake0531:

lol

snowflake0531:

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

snowflake0531:

which is 40

daddysbabygirl:

az can you explain

snowflake0531:

lol

AZ:

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

AZ:

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

daddysbabygirl:

yeah

AZ:

So in your question, if the actual length is 2.5 then we draw it as 1

AZ:

and that way everything will look correct

AZ:

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?

daddysbabygirl:

40 inches

AZ:

And here we have a proportion now \(\dfrac{1}{2.5} = \dfrac{16}{x}\) and we solve for this 'x'

AZ:

And that's correct!

daddysbabygirl:

AZ:

So now they're telling us the actual height and want us to calculate what we draw it as So we have \(\dfrac{1}{2.5} = \dfrac{y}{15}\)

daddysbabygirl:

ok

AZ:

cross multiply it just like how you've been doing |dw:1614175545315:dw|

jhonyy9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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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