# Chapter 10 - Area - 10-4 Perimeters and Areas of Similar Figures - Practice and Problem-Solving Exercises: 9

The ratio of the perimeters 1:2 The ratio of the areas 1:4

#### Work Step by Step

Find the corresponding side ratio. $\frac{2}{4}$=$\frac{1}{2}$ The ratio of the perimeters is equal to the ratio of the corresponding sides. $\frac{1}{2}$=$\frac{1}{2}$. This can be written as 1:2 also. The ratio of the areas is equal to the square of the ratio of the corresponding sides. $\frac{1^{2}}{2^{2}}$=$\frac{1}{4}$. This can also be written as 1:4

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