SOLUTION: A rectangle has an area of 12 in.² and the length is 11 inches more than the width find the length and the width of the rectangle

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Question 873565: A rectangle has an area of 12 in.² and the length is 11 inches more than the width find the length and the width of the rectangle
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle has an area of A in.² and the length L is k inches more than the width w. Find the length and the width of the rectangle.

L=w%2Bk and wL=A.
w%28w%2Bk%29=A
w%5E2%2Bkw-A=0.
Most of these exercises yield a factorable quadratic equation, so continuing completely in symbols is not necessary but can be chosen if you want. Putting in the given values now gives...
w%5E2%2B11w-12=0
%28w-1%29%28w%2B12%29=0
The needed answer that has meaning is highlight%28w=1%29.
highlight%28L=12%29.