Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - 10-4 Perimeters and Areas of Similar Figures - Practice and Problem-Solving Exercises: 12

Answer

The ratio of the perimeters is 3:5 The ratio of the areas is 9:25

Work Step by Step

Find the corresponding side ratio. $\frac{15}{25}$=$\frac{3}{5}$ The ratio of the perimeters is equal to the ratio of the corresponding sides. $\frac{3}{5}$=$\frac{3}{5}$. This can be written as 3:5 as well. The ratio of the areas is equal to the square of the ratio of the corresponding sides. $\frac{3^{2}}{5^{2}}$=$\frac{9}{25}$. This can also be written as 9:25
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