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: 7:4 Ratio of the Areas: 49:16
Practice makes perfect
Let's start by considering the given similar figures.
Here, the lengths of two corresponding sides are 28 and 16. Therefore, we can say that the ratio between corresponding side lengths is 28: 16. Let's simplify this ratio.
The simplified ratio between corresponding side lengths is 7:4. 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.
