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: 74

Answer

$\frac{4x^{2}}{25x^{2}+30x+9}$ square meters

Work Step by Step

Step 1: Length $L$= $\frac{2x}{5x+3}$ meters Step 2: Area of square =$L \times L$= $\frac{2x}{5x+3} \times \frac{2x}{5x+3}$ Step 3: $\frac{2x}{5x+3} \times \frac{2x}{5x+3} =\frac{2x\times2x}{(5x+3)(5x+3)}$ Step 4: $\frac{4x^{2}}{(5x+3)^{2}}$ Step 5: $\frac{4x^{2}}{(5x)^{2}+2(5x)(3)+(3)^{2}}$ Step 6: $\frac{4x^{2}}{25x^{2}+30x+9}$ Step 6: Therefore, the answer is $\frac{4x^{2}}{25x^{2}+30x+9}$ square meters
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