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 9 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: 58
Ratio of the Areas: 2564

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

In the given similar figures, the lengths of two corresponding sides are 5 and 8. Therefore, the ratio between the corresponding side lengths is 5 8. 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 5/8
Ratio of Perimeters 5/8
Ratio of Areas 5^2/8^2 ⇔ 25/64