SOLUTION: The length of a rectangle is 6 meters more than the width. The area is 55 square meters. What is the length and the width of the rectangle?

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Question 1009910: The length of a rectangle is 6 meters more than the width. The area is 55 square meters. What is the length and the width of the rectangle?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The length L of a rectangle is 6meters more than the width W.
L=W%2B6
The area is A=55 square meters.
A=LW
55=%28W%2B6%29W
55=W%5E2%2B6W
W%5E2%2B6W-55=0
W%5E2-5W%2B11W-55=0
%28W%5E2-5W%29%2B%2811W-55%29=0
W%28W-5%29%2B11%28W-5%29=0
%28W-5%29%28W%2B11%29+=0
solutions:
%28W-5%29+=0=>W=5
%28W%2B11%29+=0=>W=-11
since we are looking for the width, we will need only positive solution
so, the width of the rectangle is highlight%28W=5%29meters
go to L=W%2B6 and find the length
L=5%2B6
highlight%28L=11%29 meters ->the length of the rectangle