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 - Page 638: 11


The ratio of the perimeters 2:3 The ratio of the areas 4:9

Work Step by Step

Find the corresponding side ratio. $\frac{14}{21}$=$\frac{2}{3}$ The ratio of the perimeters is equal to the ratio of the corresponding sides. $\frac{2}{3}$=$\frac{2}{3}$. This can be written as 1:2 as well. The ratio of the areas is equal to the square of the ratio of corresponding sides. $\frac{2^{2}}{3^{2}}$=$\frac{4}{9}$. This can also be written as 1:4.
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