Question 821527: The length of a rectangle is twice the width. The area is 10 m2. Find the length and the width.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
L = 2w
Lw = 10
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Lw = 10
2ww = 10
2ww - 10 = 0
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the above quadratic equation is in standard form, with a=2, b=0, and c=-10
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 0 -10
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
w = 2.23606798
w = -2.23606798
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negative width doesn't make sense so use the positive root:
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answer:
w= 2.236 m
L= 4.472 m
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