Question 816340: The length of a rectangle is 5 ft less than double the width, and the area of the rectangle is 33 ft². Find the dimensions of the rectangle.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! L = 2w - 5
wL = 33
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wL = 33
w(2w - 5) = 33
2w^2 - 5w - 33 = 0
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the above quadratic equation is in standard form, with a=2, b=-5, and c=-33
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to solve the quadratic equation, plug this:
2 -5 -33
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
w = -3
w = 5.5
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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 = 5.5 ft
L = 6.0 ft
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