Question 943237: The length of a rectangle is 6 more than the width. The area is 720 sq. ft. What is the length and width of the rectangle?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = length in feet
y = width in feet
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x = y + 6
y = x - 6
xy = 720
x(x - 6) = 720
xx - 6x - 720 = 0
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the above quadratic equation is in standard form, with a=1, b=-6 and c=-720
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -6 -720
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the quadratic has two real roots at:
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x = 30
x = -24
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
x = 30
y = x - 6
y = 30 - 6
y = 24
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