# SOLUTION: A garden plot 5m by 15m has one of its longest sides next to a wall. The area of the plot is to be doubled by digging up a strip of uniform with along the other three sides. How wi

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 698662: A garden plot 5m by 15m has one of its longest sides next to a wall. The area of the plot is to be doubled by digging up a strip of uniform with along the other three sides. How wide should the border?Answer by sofiyac(946)   (Show Source): You can put this solution on YOUR website!A garden plot 5m by 15m has one of its sides next to a wall. The area of the plot is to be doubled by digging up a strip of uniform width along the other three sides. How wide should the border be? --- Draw the picture of the garden with the wall on one side. Area of the garden = 15*5 = 75 m^2 ----------------------- Let the uniform width of the stip be "x". Area of the strip = 15x + x(x+5) + x(x+5) = 2x^2+25x ------------------------ Equation: strip area = garden area 2x^2 + 25x = 75 2x^2+25x-75 = 0 (2x-5)(x+15) = 0 Positive solution: x = 5/2 meters