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

16.875 units²

Step-by-step 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

= ( cross- multiply )

225x = 3796.875 ( divide both sides by 225 )

x = 16.875

Thus area of rectangle C = 16.875 units²

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