Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 75


The length of each side of the square room is 15 feet. The dimensions are 15 feet $\times$ 15 feet.

Work Step by Step

Area of a square is Length of side (s) $\times$ Length of side i.e., $A= s\times s=s^2$ It is given that Area (A) of the square room is 225 square feet. $225 = s^2$ Using the square root property, $±\sqrt225=s$ $± 15=s$ Since the length of the side cannot be negative, the length of side = 15 feet. Therefore, the dimensions of the square room is 15 feet $\times$ 15 feet
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