SOLUTION: the area of a rectangular wall of a barn is 96 square feet. its length is 10 feet longer than the width. find the length and width of the wall of the barn.

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Question 125496: the area of a rectangular wall of a barn is 96 square feet. its length is 10 feet longer than the width. find the length and width of the wall of the barn.
Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
x is the width, x + 10 is the length. The area is the length times the width or x%28x%2B10%29 and is equal to 96 sq ft.

x%28x%2B10%29=96

x%5E2%2B10x=96

x%5E2%2B10x-96=0

Factors of -96 whose sum is +10 are -6 and +16, so:

%28x%2B16%29%28x-6%29=0, so x=-16 or x=6. You'll have a very hard time finding a barn wall with a width of -16 feet, so we can exclude that solution. The width is 6 feet and the lenght is 6 + 10 or 16 feet. That's a very tall, skinny barn or a long but very short barn.