Question

Rectangles B and C are similar. If the area of rectangle B is 30, what is the area of

rectangle C?

Answer 1

16.875 units²

Explanation:

Given the sides of 2 similar figures in the ratio a : b, then

area ratio = a² : b²

Here ratio of sides = 15 : 11.25, thus

ratio of areas = 15² : 11.25² = 225 : 126.5625

let x be the area of rectangle C, then the ratio is

`(225)/(30)` =
`(126.5625)/(x)` ( cross- multiply )

225x = 3796.875 ( divide both sides by 225 )

x = 16.875

Thus area of rectangle C = 16.875 units²