SOLUTION: A garden in the form a square is surrounded by a path which is 1m wide on two opposite sides and 1/2m wide on the other two opposite sides.If the area of the path is 17m^2,calculat

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Question 1019735: A garden in the form a square is surrounded by a path which is 1m wide on two opposite sides and 1/2m wide on the other two opposite sides.If the area of the path is 17m^2,calculate the perimeter of the garden and the area of the space covered by the garden

Answer by ikleyn(52777) About Me  (Show Source):
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A garden in the form a square is surrounded by a path which is 1m wide on two opposite sides and 1/2m wide on the other two opposite sides.If the area of the path is 17m^2,calculate the perimeter of the garden and the area of the space covered by the garden
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Your equation is

%28x+%2B+2%2A1%29%2A%28x%2B2%2A0.5%29+-+x%5E2 = 17,   or

%28x+%2B+2%29%2A%28x+%2B+1%29+-+x%5E2 = 17,   or

x%5E2+%2B+2x+%2B+x+%2B+2+-+x%5E2 = 17,   or

3x = 17 - 2 = 15,

x = 15%2F3 = 5.

The garden square side is 5 m.
The garden perimeter is 5*4 = 20 m, and the garden area is 5*5 = 25 m%5E2.