Question 828666: The length of a rectangle is 8 feet more than the width. If the area of the rectangle is 38 square feet, find the dimensions of the rectangle .
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
x = y + 8
y = x - 8
xy = 38
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xy = 38
x(x - 8) = 38
xx - 8x - 38 = 0
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the above quadratic equation is in standard form, with a=1, b=-8, and c=-38
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -8 -38
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the quadratic has two real roots at:
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x = 11.3484692
x = -3.34846923
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
x = 11.3484692 ft
y = 3.3484692 ft
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