SOLUTION: The length of a rectangular garden is twice its width.The garden is surrounded by a concrete walk having a uniform width of 4 feet.If the area of the garden and the walk is 330 squ

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Question 1032326: The length of a rectangular garden is twice its width.The garden is surrounded by a concrete walk having a uniform width of 4 feet.If the area of the garden and the walk is 330 square feet.What are the dimensions of the garden?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions x and y;
x=2y
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Garden and Walk Area, %28x%2B2%2A4%29%28y%2B2%2A4%29=330 because the value IS given.
%28x%2B8%29%28y%2B8%29-330=0
%282y%2B8%29%28y%2B8%29-330=0
2y%5E2%2B8y%2B16y%2B64-330=0
2y%5E2%2B24y%2B2%2A32-2%2A5%2A33=0
y%5E2%2B12y%2B32-5%2A33=0
y%5E2%2B12y-165=0
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y=%28-12%2B-+sqrt%28144%2B4%2A165%29%29%2F2
y=%28-12%2B-+sqrt%28804%29%29%2F2
highlight%28y=-6%2Bsqrt%28201%29%29%29
highlight%28x=-12%2B2%2Asqrt%28201%29%29