Algebra 1: Common Core (15th Edition)

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

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises: 63

Answer

$\approx12$ feet

Work Step by Step

It is given that the area of the square patio is 136 square feet. We will use the equation for the area of a square: $Area=length\times width$ or $Area=length^{2}$ since all sides of a square are of equal length. Square feet denotes area, so we will plug the given value of 136 square feet into our equation. $136=length^{2}$ Next, square root each side. $\sqrt 136$$=\sqrt {length^{2}}$ Solve for the square root: $\sqrt 136=11.67 ft$ Now your equation should look like this: $11.67=length$ The problem asks to round our answer to the nearest foot, so $length\approx12 ft$, which is your answer.
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