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 - Lesson Check: 2

Answer

Ratio of the perimeters 4:3 Ratio of the areas 16:9

Work Step by Step

Set up a ratio of the corresponding sides. 12:9 Reduce the ratio by dividing each number by 3. 4:3 The ratio of the perimeter is the same as the ratio of corresponding sides. 4:3 = 4:3 The ratio of the areas is the square of the ratio of corresponding sides. $4^{2}$:$3^{2}$=16:9
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