Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Exercise Set - Page 508: 76


$ 8$ inches

Work Step by Step

The perimeter is the sum of the sides' lengths $P=\displaystyle \frac{4x+9}{x+4}+\frac{7}{x+4}+\frac{4x+9}{x+4}+\frac{7}{x+4}$ To add/subtract rational expressions with the same denominator, add/subtract numerators and place the sum/difference over the common denominator. $P=\displaystyle \frac{4x+9+7+4x+9+7}{x+4}$ $=\displaystyle \frac{8x+32}{x+4}$ $=\displaystyle \frac{8(x+4)}{(x+4)}$ ... common factors cancel, =$ 8$ inches
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