SOLUTION: The area of a rectangular garden is 48 square feet. How much fencing will be needed to enclose if its length is 2 feet longer than its width?
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Question 1007119: The area of a rectangular garden is 48 square feet. How much fencing will be needed to enclose if its length is 2 feet longer than its width?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
In this problem we have
A = LW = 48 and
L = W + 2
Now substitute this into the first equation and get
(W + 2)(W) = 48
W^2 + 2W - 48 = 0
(W + 8)(W - 6) = 0
so the width is 6 feet
The length must then be 8 feet.
The border fence must be the perimeter...
P = 2L + 2W = 2(8) + 2(6) = 28 feet
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