Question

A person wants to increase a (5 in. x 7 in.) photo to an (8 in. x 10 in.) but since the aspect ratios are not the same some of the picture will get chopped off.

Answer 1

Consider the image below

The image should have the leghth x

Hence by comparing the ratio of the side

`\begin{gathered} (x)/(7)=(8)/(5) \\ \text{Then} \\ 5x=56 \\ x=(56)/(5)=11.2 \end{gathered}`

Therefore

x=11.2

The area of the image when some part of the picture are chopped off

`10*8=80in^2`

The area of the main image will be

`11.2*8=89.6in^2`

Then

The percentage of the picture that can be used is

`(80)/(89.6)*100=89.29\text{ \%}`

Therefore

The percentage of the picture that can be used is 89.29%