Algebra 1: Common Core (15th Edition)

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

Chapter 9 - Quadratic Functions and Equations - 9-3 Solving Quadratic Equations - Practice and Problem-Solving Exercises - Page 564: 35

Answer

Side length of the largest square is $7.1\;ft$.

Work Step by Step

Let the side of the square be $=a$. Area of the square $=a^2$. Given area of the square $=50\;ft^2$. Equate both areas. $\Rightarrow a^2=50$ Take the square root on both sides. $\Rightarrow \sqrt{a^2}=\pm\sqrt{50}$ Simplify. $\Rightarrow a=\pm7.1\;$ The area cannot have a negative sign. Hence, the side of the square is $7.1\;ft$.
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