SOLUTION: The perimeter of a rectangular garden is 40 ft. The width is 2 ft more than one half the length. Find the length and width.

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Question 258165: The perimeter of a rectangular garden is 40 ft. The width is 2 ft more than one half the length. Find the length and width.
Found 2 solutions by stanbon, drk:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangular garden is 40 ft. The width is 2 ft more than one half the length. Find the length and width.
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Perimeter = 2(L + W)
W = (1/2)L + 2
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Substitute for "W" and solve for "L":
40 = 2(L + (1/2)L + 2)
20 = (3/2)L + 2
(3/2)L = 18
L = 12
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Cheers,
Stan H.

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
The formula for perimeter is
(i) P = 2L + 2w
we also know that
(ii) w = (1/2)L + 2
by substitution, we get
(iii)
(iv)
(v)
L = 12
This means w = 8.

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