To find:width of the sidewalk that surrounds the pool.
Answer to Problem 54E
Width of the sidewalk = 5 feet
Explanation of Solution
Given information: Construction: The Santa Fe Recreation Department has a 50-foot by 70-ffot area for construction of a new public swimming pool. The pool will be surrounded by a concrete sidewalk of constant width. Because of water restrictions, the pool can have a maximum area of 2400 square feet.
Calculation:
Dimensions of the total area
Let width of a concrete sidewalk be x ft.
The maximum area the pool can have, 2400 square feet.
Since it is surrounded by an x ft width concrete sidewalk
Dimensions of the pool
The maximum area the pool can have, 2400 square feet.
Since the width of the side walk cannot be 55 feet on both sides, x cannot take a value of 55. So x = 5.
Width of the sidewalk = 5 feet
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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