SOLUTION: an architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. if 240 feet of antique picket fencing are to be used to enclose the garden

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Question 720615: an architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. if 240 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.
Answer by nerdybill(7384) About Me  (Show Source):
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an architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. if 240 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.
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Let x = length
then from "width is exactly two-thirds of the length" we get:
(2/3)x = width
.
2(x + (2/3)x) = 240
(x + (2/3)x) = 120
x(1 + (2/3)) = 120
x((3/3) + (2/3)) = 120
x(5/3) = 120
x(5) = 360
x = 72 feet (length)
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width:
(2/3)x = (2/3)72 = (2)24 = 48 feet
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Dimension: 48 feet by 72 feet
Or, width=48 feet and length=72 feet