SOLUTION: A concrete walk of uniform width surrounds a rectangular swimming pool. Let x represent this width. If the pool is 6 ft. by 10 ft. and the total area of the pool and walk is 96 ft²
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Question 721968: A concrete walk of uniform width surrounds a rectangular swimming pool. Let x represent this width. If the pool is 6 ft. by 10 ft. and the total area of the pool and walk is 96 ft². Find the width of the walk.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the width of sidewalk be x
..
Length of pool = 10 ft
Width = 6 ft
Area = 60 m^2
Area of sidewalk = 36 m^2
Length of pool + sidewalk = 10 + 2 x
width of pool + sidewalk = 6 + 2 x
( 10 + 2 x ) ( 6 + 2 x ) + -60 = 36
60 + 20 x + 12 x + 4 X^2 + -60 = 36
4 X^2 + 32 x + -36 = 0
(4x-4)(x+9)=0
4(x-1)(x+9)=0
x=1 OR -9
Ignore negative value
width of sidewalk = 1 ft
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