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

Answer:

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

Step-by-step 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

$k=\frac{4}{3}$

The scale factor  for the area is

$k=\frac{16}{9}$

Let the area of the smaller iPhone be S.

Then $\frac{16}{9}\times S=8$

Then $S=8\times \frac{9}{16}$

Then $S=4.5in^2$