Question 934597: The length of a rectangle is 5 m less than double the width, and the area of the rectangle is 52 m squared . Find the dimensions of the rectangle.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! L = 2w - 5
Lw = 52
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Lw = 52
(2w - 5)w = 52
2ww - 5w - 52 = 0
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the above quadratic equation is in standard form, with a=2, b=-5 and c=-52
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -5 -52
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the quadratic has two real roots at:
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w = 6.5
w = -4
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the negative root doesn't fit the problem statement, so use the positive root:
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w = 6.5
L = 2w - 5
L = 2*6.5 - 5
L = 8
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answer:
w = 6.5 m
L = 8 m
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