Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 355: 97

Answer

$P=\dfrac{4x}{x+5} \text{ ft} $; $A=\dfrac{x^2}{x^2+10x+25} \text{ sq. ft} $

Work Step by Step

Using $P=4s$ (or the Perimeter of a Square), then the perimeter is \begin{array}{l}\require{cancel} P=4\left( \dfrac{x}{x+5} \right) \\\\ P=\dfrac{4x}{x+5} \text{ ft} .\end{array} Using $A=s^2$ (or the Area of a Square), then the area is \begin{array}{l}\require{cancel} A=\left( \dfrac{x}{x+5} \right)^2 \\\\ A=\dfrac{x^2}{(x+5)^2} \\\\ A=\dfrac{x^2}{(x)^2+2(x)(5)+(5)^2} \\\\ A=\dfrac{x^2}{x^2+10x+25} \text{ sq. ft} .\end{array}
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