SOLUTION: Endre Borsos has a pool 24 ft long and 10 ft wide. He wants to construct a concrete walk around the pool. If he plans for the walk to be of uniform width and cover 152ft^2, what

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Question 821353: Endre Borsos has a pool 24 ft long and 10 ft wide. He wants to construct a concrete walk around the pool. If he plans for the walk to be of uniform width and cover 152ft^2, what will the width of the walk be?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a pool 24 ft long and 10 ft wide.
He wants to construct a concrete walk around the pool.
If he plans for the walk to be of uniform width and cover 152ft^2,
what will the width of the walk be?
:\
Let x = the width of the walk
The walkway will add 2x to the length and width of overall area
(2x+24) by (2x+10) is the overall dimensions
The equation
overall area - pool area = walkway area
(2x+24)*(2x+10) - (24*10) = 152
FOIL
4x^2 + 20x + 48x + 240 - 240 = 152
Combine like terms, to form a quadratic equation on the left
4x^2 + 68x - 152 = 0
Simplify, divide by 4
x^2 + 17x - 38 = 0
Factors to
(x+19) (x-2) = 0
The positive solution is all we want here
x = 2 ft is the width of the walk
:
:
See if this works out
28*14 = 392
24*10 = 240
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diff: 152