We wish to enclose 7800 sq ft in a rectangular region against an existing wall: the side against wall does not need fencing. If we use 250 feet of fence what are the dimensions of the rectangle?

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if you use only three sides for fencing, you have x + x + (250-2x) as the dimensions. x times (250-2x) = 7800 250x-2x^2 = 7800 2x^2-250x+7800 = 0 factor (2x-130)(x-60) x=130/2 or 60 the dimensions of the rectangle are 75 by 104 OR 60 by 130ft.