SOLUTION: The question is: You are building a walkway of uniform width around a 100ft by 60ft swimming pool. After completing the walkway, you want to put a fence along the outer edge of the

Question 638899: The question is: You are building a walkway of uniform width around a 100ft by 60ft swimming pool. After completing the walkway, you want to put a fence along the outer edge of the walkway. You have 450ft of fencing to enclose the walkway. What is the maximum width of the walkway?
I think that the walkway is 75ft by 150ft. I'm not sure though and I am very confused on what I should do to get the answer. I have tried several things and nothing is working right. Please help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You are building a walkway of uniform width around a 100ft by 60ft swimming pool.
After completing the walkway, you want to put a fence along the outer edge of the walkway.
You have 450ft of fencing to enclose the walkway.
What is the maximum width of the walkway?
:
Actually they are asking for width of the walkway.
:
let x = the width of the walkway
that will add 2x to each dimension of the pool
:
the overall dimensions including the walkway will be
(2x+100) by (2x+60)
:
The fencing will equal the perimeter of the area including the walkway
2L + 2W = 450
Using the overall dimensions for L and W:
2(2x+100) + 2(2x+60) = 450
simplify divide thru by 2
(2x+100) + (2x+60) = 225
combine like terms
4x + 160 = 225
4x = 225 - 160
4x = 65
x = 65/4
x = 16.25 ft is the width of the walkway if you use 450 ft of fence
:
:
you can check this by finding the overall dimensions
(32.5+100) by (32.5+60)
132.5 by 92.5
:
See if this equal the amt of fencing
2(132.5) + 2(92.5) =
265 + 185 = 450

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