Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
7. Perimeters and Areas of Similar Figures
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Exercise 11 Page 87

The ratio of the perimeters is the same as the ratio between corresponding side lengths. The ratio of the areas is the same as the ratio of the corresponding side lengths squared.

Ratio of the Perimeters: 149
Ratio of the Areas: 19681

Practice makes perfect
Let's start by considering the given similar figures.

In the given similar figures, the lengths of two corresponding sides are 14 and 9. Therefore, the ratio between the corresponding side lengths is 14 9. In similar figures, the ratio of the perimeters is the same as the ratio between the corresponding side lengths. The ratio of the areas is the same as the ratio of the corresponding side lengths squared.

Ratio of Corresponding Side Lengths 14/9
Ratio of Perimeters 14/9
Ratio of Areas 14^2/9^2 ⇔ 196/81