Question

If the similarity of two Similar solids is 3:14 what is the ratio of their corresponding areas

Answer 1

linear 3 : 14 area 3^2 : 14^2 = 9 : 196 volume 3^3 : 14^3 = 27 : 2744

Answer 2

`(9)/(196)`

Explanation:

we know that

If two solids are similar, the ratio of their corresponding areas, is equal to the scale factor squared

In this problem we have that

the scale factor is equal to
`(3)/(14)`

so

the ratio of their corresponding areas, is equal to

`((3)/(14))^(2)=(9)/(196)`