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) (Show Source): You can put this solution on YOUR website!
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.
.
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)
.
width:
(2/3)x = (2/3)72 = (2)24 = 48 feet
.
Dimension: 48 feet by 72 feet
Or, width=48 feet and length=72 feet
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