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?

Respuesta :

Answer:

The area of the smaller iPhone is [tex]4.5in^2[/tex]

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

[tex]k=\frac{4}{3}[/tex]

The scale factor  for the area is

[tex]k=\frac{16}{9}[/tex]

Let the area of the smaller iPhone be S.

Then [tex]\frac{16}{9}\times S=8[/tex]

Then [tex]S=8\times \frac{9}{16}[/tex]

Then [tex]S=4.5in^2[/tex]