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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-> 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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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(983) (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?
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Draw the picture of the garden with the wall on one side.
Area of the garden = 15*5 = 75 m^2
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Let the uniform width of the stip be "x".
Area of the strip = 15x + x(x+5) + x(x+5) = 2x^2+25x
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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
