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 - Lesson Check - Page 20: 4


$3.87$ inches

Work Step by Step

We are given that the area is $15$ inches. To find the side length we are calling it $x$ in the equation. The equation for area is $Area=x^{2}$, where $x$ is the side length. We can write the equation as so since we are given the area of the figure. $Area=x^{2}=15$. Because $x^{2}=15$, we are able to find the value of $x$ by finding the square root of $15$. $\sqrt 15=3.87$ We now know the value of $x$, the side length, because $x\approx\sqrt {15}\approx3.87$. $x=3.87$ or $x=\sqrt {15}$
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