SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 115 square feet and the dimensions of the pool are 15 feet by 3 feet, how wide is the walk
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Question 655227: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 115 square feet and the dimensions of the pool are 15 feet by 3 feet, how wide is the walk?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A man built a walk of uniform width around a rectangular pool. If the area of the walk is 115 square feet and the dimensions of the pool are 15 feet by 3 feet, how wide is the walk?
.
Area of pool:
15*3 = 45 square feet
.
Area of pool and walk:
(x+15)(x+3) = x^2+18x+45
.
"area of walk" = "area of pool and walk" - "area of walk"
115 = x^2+18x+45 - 45
115 = x^2+18x
0 = x^2+18x-115
0 = (x+23)(x-5)
x = {-23, 5}
throw out the negative solution (extraneous) leaving
x = 5 feet
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