Geometry: Common Core (15th Edition)

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

Chapter 10 - Area - Mid-Chapter Quiz: 21

Answer

3 $ft^{2}$

Work Step by Step

The ratio of the perimeter is the same as the ratio of corresponding sides. This is given as 1:3. The ratio of the areas is the square of the ratio of corresponding sides. $1^{2}$:$3^{2}$=1:9 Set up a proportion based on this ratio $\frac{1}{9}$=$\frac{x}{27}$ Cross Multiply 9x=27 Divide both sides by 9 x=3
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