Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - Review Exercises: 108

Answer

Length: 14 inches, Width: 10 inches

Work Step by Step

We are told that the perimeter of a rectangular game board is 48 in. and the length is 4 in. more than the width. Knowing that the perimeter of a rectangle is $2l+2w$, we can set this up as an equation (where l and w are the size of the length and width of the rectangle, respectively). $48=2(x+4)+2(x)=2(x)+2(4)+2(x)=(2+2)x+8=4x+8$ Subtract 8 from both sides. $48-8=4x+8-8$ $4x=40$ Divide both sides by 4. $x=10$ Therefore, the width is $x=10$ inches. The length is $x+4=14$ inches.
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