Question

The ratio of the corresponding side lengths of two similar iPhones is 4 : 3. The area of the larger iPhone is 8 square inches. What is the area of the smaller iPhone?

Answer 1

The area of the smaller iPhone is
`4.5in^2`

Explanation:

It was given that the ratio of the corresponding side lengths of two similar iPhones is 4 : 3.

The scale factor that can be used to calculate the corresponding sides of the bigger iPhone, when the length of the smaller iPhone is known is

`k=(4)/(3)`

The scale factor for the area is

`k=(16)/(9)`

Let the area of the smaller iPhone be S.

Then
`(16)/(9)* S=8`

Then
`S=8* (9)/(16)`

Then
`S=4.5in^2`