SOLUTION: The length of the diagonal of a rectangle is square root of 40. If one side is four units longer than the other what are the lengths of both sides?
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Question 834862: The length of the diagonal of a rectangle is square root of 40. If one side is four units longer than the other what are the lengths of both sides? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The length of the diagonal of a rectangle is square root of 40. If one side is four units longer than the other what are the lengths of both sides?
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shorter side:: x
other side:::: x+4
diagonal:: sqrt(40)
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Equation:
x^2 + (x+4)^2 = 40
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x^2 + x^2+8x = 40-16
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2x^2 + 8x - 24 = 0
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x^2 + 4x - 12 = 0
Factor:
(x+6)(x-2) = 0
Positive solution:
shorter side:: x = 2
other:: x+4 = 6
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Cheers,
Stan H.
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