Question 821379: The length of a rectangular pen is 2 more than three times its width. Find the dimensions of the pen if the area of the pen is 16 yards squared.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
L = 3w + 2
Lw = 16
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Lw = 16
(3w + 2)w = 16
3ww + 2w - 16 = 0
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the above quadratic equation is in standard form, with a=3, b=2, and c=-16
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
3 2 -16
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
w = 2
w = -2.66666667
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negative width doesn't make sense so use the positive root:
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answer:
w = 2 yards
L = 8 yards
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