# SOLUTION: A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet.

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 Click here to see ALL problems on Rectangles Question 160264: A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet.Answer by nerdybill(7003)   (Show Source): You can put this solution on YOUR website! A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet. . Let x = width and y = length . The because he has 200 ft of fencing, this must lest than or equal to the perimeter: 2(x+y) = 200 x+y = 100 Solving for x: x+y = 100 x = 100-y . Area: xy = 2400 . substitute x=100-y: xy = 2400 (100-y)y = 2400 100y-y^2 = 2400 0 = y^2-100+2400 factoring: 0 = (y-40)(y-60) y={60,40} . length 60 feet width 40 feet