SOLUTION: The area of a rectangular wall of a barn is 96 square feet. Its length is 4 feet longer than twice its width. Find the length and width of the wall of the barn.

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Question 1084567: The area of a rectangular wall of a barn is 96 square feet. Its length is 4 feet longer than twice its width. Find the length and width of the wall of the barn.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A=l*w
l=2w+4
substitute
A=w*(2w+4)=2w^2+4w=96
divide by 2 and subtract the constant from both sides
w^2+2w-48=0
(w+8)(w-6)=0
only positive root is width=6 feet and length=16 feet.