SOLUTION: Gardening: a homeowner designs a rectangular garden such that the length is 20 feet more than twice the width. if 310 feet of picket fencing are to be used, find the length and wid

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Question 401182: Gardening: a homeowner designs a rectangular garden such that the length is 20 feet more than twice the width. if 310 feet of picket fencing are to be used, find the length and width of the garden?
Answer by nerdybill(7384) About Me  (Show Source):
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Gardening: a homeowner designs a rectangular garden such that the length is 20 feet more than twice the width. if 310 feet of picket fencing are to be used, find the length and width of the garden?
.
Let w = width
then
2w+20 = length
.
"perimeter of garden" = "amount of fencing"
2(w + 2w+20) = 310
2(3w+20) = 310
3w+20 = 155
3w = 135
w = 45 feet (width)
.
Length:
2w+20 = 2(45)+20 = 90+20 = 110 feet