Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - Common Core Cumulative Standards Review - Selected Response - Page 290: 17

Answer

$29 ft$

Work Step by Step

The area of rectangle A, is $180 ft^2$. 1 side of rectangle A is $20ft$. We can find the other side of rectangle A by dividing the area by the given side $180/20 = 9 $ The other side is $9ft$. Because this is a rectangle, parallel sides are equal, so the side lengths are $20ft, 9ft, 20ft, 9ft$. The area of rectangle B is $1/4$ times the area of rectangle A, which means that the sides of Rectangle B measure half the sides of Rectangle A. The sides of Rectangle B must be $10, 4.5, 10, 4.5$. To get the perimeter, add all sides. $10 + 4.5 + 10 + 4.5 = 29$
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