Question

You are reducing a map of dimensions 24 in. by 36 in. to fit onto a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?

Answer 1

We have

scale factor

`(24)/(36)=(2)/(3)`

The largest side 10 in

Then we need to obtain the shortest side

`(2)/(3)=(x)/(10)`
`x=(2\cdot10)/(3)=(20)/(3)=6(2)/(3)`

Therefore the dimensions of the largest possible map are

6 2/3 in by 10 in