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: 10

Answer

The ratio of the perimeters 4:3 The ratio of the areas 16:9

Work Step by Step

Find the corresponding side ratio. $\frac{8}{6}$=$\frac{4}{3}$ The ratio of the perimeters is equal to the ratio of the corresponding sides. $\frac{4}{3}$=$\frac{4}{3}$. The ratio of the areas is equal to the square of the ratio of corresponding sides. $\frac{4^{2}}{3^{2}}$=$\frac{16}{9}$.
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