Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 67: 56


64 ft.

Work Step by Step

Define the variables: x=width of the garden; y=length of the garden Perimeter of the garden: $2y + 2x$ Since the walkway is 8 ft, it's length and width are extended 8 ft from the original garden. Walkway width (x): $x+16$ Walkway length (y): $y+16$ Formula for perimeter: $2y+2x = P$ Plug in the walkway length and width: (y+16) + (y+16) + (x+16) + (x+16) This combines to $2y + 2x + 64$ When the perimeter of the garden is subtracted, you receive: $2y + 2x + 64 - (2x + 2y) = 64$ Thus, the difference if 64 ft.
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