Introductory Algebra for College Students (7th Edition)

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

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Concept and Vocabulary Check - Page 164: 5


The perimeter of the rectangle is $10x$.

Work Step by Step

We know that the perimeter of a rectangle can be given by the formula: $$P = 2l + 2w$$ Let's plug in $x$ for the width and $4x$ for the length: $$P = 2(4x) + 2(x)$$ We simplify to get: $$P = 8x + 2x$$ We then combine like terms: $$P = 10x$$ The perimeter of the rectangle is $10x$.
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