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]