Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 79

Answer

8 meters

Work Step by Step

Let x be the length of a side of the original square. If the area of the new square is 144 square meters then: $144=(x+2+2)^2$ Simplify. $144=(x+4)^2$ Take the square root of each side. $\sqrt{144}=\sqrt{(x+4)^2}$ Simplify. $12=x+4$ Subtract 4 from each side. $12-4=x+4-4$ Simplify. $8=x$
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