## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 10 - Area - 10-4 Perimeters and Areas of Similar Figures - Lesson Check - Page 638: 5

#### Answer

The ratio of the areas is the square of the ratio of their perimeters.

#### Work Step by Step

If a perimeter has a ratio of $\frac{5}{6}$, then the ratio of the areas would be the numerator and denominator squared. $\frac{5^{2}}{6^{2}}$=$\frac{25}{36}$

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