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

SOLUTION

Consider the image below

The image should have the leghth x

Hence by comparing the ratio of the side

$\begin{gathered} \frac{x}{7}=\frac{8}{5} \\ \text{Then} \\ 5x=56 \\ x=\frac{56}{5}=11.2 \end{gathered}$

Therefore

x=11.2

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

$10\times8=80in^2$

The area of the main image will be

$11.2\times8=89.6in^2$

Then

The percentage of the picture that can be used is

$\frac{80}{89.6}\times100=89.29\text{ \%}$

Therefore

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