Algebra: A Combined Approach (4th Edition)

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

Chapter 2 - Section 2.5 - Formulas and Problem Solving - Practice: 4

Answer

length: 21 m; width: 5 m

Work Step by Step

Use the formula for perimeter, P = 2l + 2w. We have P = 52, and we write the length in terms of its width, w. l = 4w + 1 Rewrite equation in terms of w: 52 = 2(4w + 1) + 2w Solve for w: 52 = 8w + 2 + 2w 52 = 10w + 2 50 = 10w w = 5 l = 4w + 1 = 4(5) + 1 = 21
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