Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set - Page 501: 73

Answer

$\frac{2}{9(x-5)}$ square feet

Work Step by Step

Step 1: Length $L$= $\frac{x+5}{9x}$ feet and Breath $B$=$\frac{2x}{(x^{2}-25)}$ feet Step 2: Area=$L \times B$= $\frac{x+5}{9x} \times \frac{2x}{(x^{2}-25)}$ Step 3: $\frac{x+5}{9x} \times \frac{2x}{(x^{2}-25)}$ =$\frac{x+5}{9x} \times\frac{2x}{(x+5)(x-5)}$ Step 4: Simplifying by cancelling (x+5) in both numerator and denominator, $\frac{1}{9x} \times\frac{2x}{(x-5)}$ Step 5: Simplifying by cancelling (x) in both numerator and denominator, $\frac{1}{9} \times\frac{2}{(x-5)}$ Step 6: Therefore, the answer is $\frac{2}{9(x-5)}$ square feet
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