Question 816549: [ The length of the rectangle is 8 centimeters less than twice the width. The area of the rectangle is 24 centimeters squared. Determine the dimensions of the rectangle in centimeters ]
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! L = 2w - 8
Lw = 24
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Lw = 24
(2w - 8)w = 24
2w^2 - 8w - 24 = 0
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the above quadratic equation is in standard form, with a=2, b=-8, and c=-24
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to solve the quadratic equation, plug this:
2 -8 -24
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
w = 6
w = -2
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the negative root doesn't make sense for a length, so use the positive root
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Answer:
w = 6 cm
L = 4 cm
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