The area of a rectangular wall of a barn is 320320 square feet. its length is 1212 feet longer than twice its width. find the length and width of the wall of the barn.

Let A equal area, l equal length, and w equal width.

sq. ft.











By the quadratic formula,  or .

Clearly, width cannot be a negative number, so we restrict its domain to w > 0.

Thus, w = 198.965.

Plugging in w to original equation for l, we get  = 1,609.930.