Question 927322: The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 77 sq.ft. Find the dimensions of the rectangle
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! L = 2w + 3
Lw = 77
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Lw = 77
(2w + 3)w = 77
2ww + 3w - 77 = 0
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the above quadratic equation is in standard form, with a=2, b=3 and c=-77
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 3 -77
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the quadratic has two real roots at:
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w = 5.5
w = -7
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the negative root doesn't fit the problem statement, so use the positive root:
w = 5.5
L = 2w + 3
L = 2*(5.5) + 3
L = 14
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answer:
L = 14 ft
w = 5.5 ft
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