A square flowerbed is surrounded by a path 10 cm wide around it. If the area of the path is 2000 cm2, find the area of the square flower-bed.
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Let the side of square = x^2
Side of bigger square = (x+20)^2
Equation formed:
(x+20)^2 - x^2 = 2000
=> x^2 + 400 + 40x - x^2 = 2000
=> 40x = 1600
=> x = 40 cm
Area = 40^2
= 1600 cm^2
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A square flower bed is surrounded by a path of width 10 cm if the area of path is 1600 sq CM find the area of of the flower bed
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