SOLUTION: the length of a rectangle is twice its width .if the width is reduced by 1cm and the length is also reduced by 2cm, the area Will be 15cm^2.find the dimension of the original rec

Question 1058106: the length of a rectangle is twice its width .if the width is reduced by 1cm and the length is also reduced by 2cm, the area Will be 15cm^2.find the dimension of the original rectangle
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the length of a rectangle is twice its width .if the width is reduced by 1cm and the length is also reduced by 2cm, the area Will be 15cm^2.find the dimension of the original rectangle
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Equations:
L = 2*W
(W-1)(L-2) = 15
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Substitute for "L" and solve for "W"::
(W-1)(2W-2) = 15
2W^2 -4W -13 = 0
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Width = 3.74 cm
Length = 2*W = 7.48 cm
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Cheers,
Stan H.
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