Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 65: 42

Answer

288cm

Work Step by Step

Use the formula for the area of a rectangle. $A=bh=64\times81=5184$ Since the area of the square is the same, use the formula for the area of a square to find the length of the square's sides. $A=s^2$ $5184=s^2$ $\sqrt{5184}=\sqrt{s^2}$ $72=s$ Use the formula for the perimeter of a square. $P=4s=4(72)=288$
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