Question 925134: THE AREA OF A RECTANGLE IS 60 square METERS. FIND THE DIMENSIONS IF THE LENGTH IS 4 METERS LONGER THAN THE WIDTH"
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! a = Lw = 60
L = w + 4
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Lw = 60
(w + 4)w = 60
ww + 4w - 60 = 0
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the above quadratic equation is in standard form, with a=1, b=4 and c=-60
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 4 -60
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the quadratic has two real roots at:
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w = 6
w = -10
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
w = 6 meters
L = 10 meters
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