Question

For the pair of similar figures, find the missing area. Round your answer to the nearest tenth, if necessary.

7.5 m
A = 720 m²
12 m
A = ?

Answer 1

1843.2 m²

Explanation:

You want the area of the larger of two similar figures that have sides in the ratio 12 : 7.5, when the area of the smaller figure is 720 m².

Area ratio

The ratio of areas is the square of the ratio of the side lengths. The larger area is ...

(720 m²)(12/7.5)² = 1843.2 m²

The missing area is 1843.2 square meters.

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