Question

The two rectangles above are similar. If a = 7 in, b = 10 in, and d = 20 in, what is the length of c?

Answer 1

c = 14 in

Explanation:

given the rectangles are similar , then the ratios of corresponding sides are in proportion , that is

`(a)/(c)` =
`(b)/(d)` ( substitute values for a, b and d )

`(7)/(c)` =
`(10)/(20)` ( cross- multiply )

10c = 7 × 20 = 140 ( divide both sides by 10 )

c = 14 in