Question 820970: The width of a rectangle is 12 less than its length. The area is 45 square inches. Find the dimensions of the rectangle.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! w = L - 12
Lw = 45
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L(L - 12) = 45
LL - 12L - 45 = 0
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the above quadratic equation is in standard form, with a=1, b=-12, and c=-45
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1 -12 -45
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
L = 15
L = -3
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negative length doesn't make sense, so use the positive root
answer:
L = 15 in
w = 3 in
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