SOLUTION: Problem: The width of a rectangle is 3 meters less that its lenth. The area is 28 square meters. Find the lenth of the rectangle.

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Question 141568: Problem: The width of a rectangle is 3 meters less that its lenth. The area is 28 square meters. Find the lenth of the rectangle.
Answer by nabla(475) About Me  (Show Source):
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w=L-3
L=L
L*w=28
L(L-3)=28
L^2-3L=28
L^2-3L-28=0
(L-7)(L+4)=0
leaving L=7 or L=-4
The only answer that makes sense is L=7.
Thus, L=7, w=L-3=7-3=4.