SOLUTION: A rectangular swimming pool 10 feet by 28 feet is surrounded by a concrete walkway of uniform width of X feet. If the area of the walkway is 864 square feet, find the width of the
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Question 517791: A rectangular swimming pool 10 feet by 28 feet is surrounded by a concrete walkway of uniform width of X feet. If the area of the walkway is 864 square feet, find the width of the walkway.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The pool has an area of 280 sq ft.
(10+x)*(28+x)=280+864=1144
(10+x)*(28+x)=1144
x^2+38x+280 = 1144
x^2+38x-864 = 0
x=-54, x=16
walkway is 16 ft wide
check
26*44=1144
ok
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