SOLUTION: A Walkway of uniform width has area 72m ^2 and surrrounds a swimming pool that is 8m by 10m. Find the Width of the walkway

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Question 271540: A Walkway of uniform width has area 72m ^2 and surrrounds a swimming pool that is 8m by 10m. Find the Width of the walkway
Found 2 solutions by renhok, Alan3354:
Answer by renhok(1)   (Show Source): You can put this solution on YOUR website!
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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A Walkway of uniform width has area 72m ^2 and surrrounds a swimming pool that is 8m by 10m. Find the Width of the walkway
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(w+8)*(w+10) = 72 + 80
w^2 + 18w + 80 = 152
w^2 + 18w - 72 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=612 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.36931687685298, -21.369316876853. Here's your graph:

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w = -9 + 3*sqrt(17) meters
w =~ 3.369 meters


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