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Mathematics 12 Online
OpenStudy (anonymous):

PLEASE HELP ME :) Alex made a sketch for a poster contest. The sketch measures 4 in. × 5 in. The scale factor from the sketch to the finished poster was 2 in. to 5 in. What were the dimensions of the poster?

OpenStudy (anonymous):

The "scale factor" says for every 2 inches, stretch it out to 5 inches. The finished should be 5/2 bigger than the original. So for a 4 inch line in the original, the finished line should be 4 x (5/2) = 10.

OpenStudy (anonymous):

Can you get the other dimension? the 5 inch side in the original should be how long in the finished poster?

OpenStudy (anonymous):

no the only information i have is what i typed for the question.... the possible answers are below A. 1.6 in. × 2 in. B. 6 in. × 10 in. C. 9 in. × 7 in. D. 10 in. × 12.5 in.

OpenStudy (anonymous):

No, I meant... can you figure out the other dimension? 4 x 5 ---scale up by (5/2)----> 10 x ?

OpenStudy (anonymous):

"scale up by" is just multiplying

OpenStudy (anonymous):

12 1/2?

OpenStudy (anonymous):

did you get it? I can just tell you, but I'm pretty sure you can get it ;)

OpenStudy (anonymous):

i think its 10 x 12 1/2 right :)

OpenStudy (anonymous):

right... just watch when you make that fraction to scale... you can also shrink something the same way... if you wanted to shrink the 10 x 12.5 down to a 4 x 5, you would shrink it by multiplying both dimensions by (2/5), the opposite of the "scale up" factor of (5/2). You got it though :)

OpenStudy (anonymous):

See... math isn't that bad ;)

OpenStudy (anonymous):

not to you lol but yeah i agree

OpenStudy (anonymous):

I'm just trying to make you a believer too :) keep it up...

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