Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Cumulative Review - Page 563: 11


The shorter piece is $2$ ft long The longer piece is $8$ ft long

Work Step by Step

Step 1: The total length of the board is $10$ ft.. Step 2: We assume that the length of the shorter piece is $x$ ft.. Step 3: The length of the longer piece is therefore $4x$ ft.. Step 4: Since the shorter and longer piece together equal the total length of the board, $x+4x=10$. Step 5: Simplifying, $5x=10$ Step 6: $x=2$ ft Step 7: Therefore, the shorter piece is $2$ ft long while the longer piece is $2\times4=8$ ft long.
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