SOLUTION: if i made the flower bed 2 feet wider and 3 feet longer then it would have been 64 square feet larger. if i made it 3 feet wider and 2 feet longer it would have been 68 square feet

Question 443002: if i made the flower bed 2 feet wider and 3 feet longer then it would have been 64 square feet larger. if i made it 3 feet wider and 2 feet longer it would have been 68 square feet larger. find the length and width of the flower bed.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if i made the flower bed 2 feet wider and 3 feet longer then it would have been 64 square feet larger. if i made it 3 feet wider and 2 feet longer it would have been 68 square feet larger. find the length and width of the flower bed.
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Let width = W
Let length be L
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Equations:
(W+2)(L+3)-WL = 64
(W+3)(L+2)-WL = 68
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Modify:
3W + 2L = 58
2W + 3L = 62
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Modify:
6W + 4L = 116
6W + 9L = 186
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Subtract and solve for "L":
5L = 70
L = 14
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Solve for W:
2W + 3L = 62
2W + 42 = 62
2W = 20
W = 10
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Original dimensions: Length = 14 ft ; Width = 10 ft.
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Cheers,
Stan H.
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