Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
7. Perimeters and Areas of Similar Figures
Continue to next subchapter

Exercise 8 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: 116
Ratio of the Areas: 12136

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

In the given similar figures, the lengths of two corresponding sides are 11 and 6. Therefore, the ratio between the corresponding side lengths is 11 6. 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 11/6
Ratio of Perimeters 11/6
Ratio of Areas 11^2/6^2 ⇔ 121/36