Question 1019735
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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

{{{(x + 2*1)*(x+2*0.5) - x^2}}} = 17,   or

{{{(x + 2)*(x + 1) - x^2}}} = 17,   or

{{{x^2 + 2x + x + 2 - x^2}}} = 17,   or

3x = 17 - 2 = 15,

x = {{{15/3}}} = 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^2}}}.
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