Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
Chapter Review
Continue to next subchapter

Exercise 38 Page 95

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: 3:4
Ratio of the Areas: 9:16

Practice makes perfect

Let's start by considering the given similar figures.

Here, the lengths of two corresponding sides are 6 and 8. Therefore, we can say that the ratio between corresponding side lengths is 6: 8. Let's simplify this ratio.
6:8
Simplify
6/8
3/4
3:4
The simplified ratio between corresponding side lengths is 3:4. In similar figures, 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 corresponding side lengths squared.
Ratio of Corresponding Side Lengths 3:4
Ratio of Perimeters 3:4
Ratio of Areas 3^2:4^2 ⇔ 9:16