Question 316794
let the width of the path be x
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length of pool = 30
width of pool =20
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length of pool +path width = 30 +2x
width of pool + path width = 20+2x
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Area = L*W
Area of total plot = (2x+30) * (2x+20)
Area of pool without the path = 30*20 = 600sq.meters
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(2x+30) * (2x+20) = 1344
4x^2+40x+60x+600=1344
4x^2+100x-744=0
x^2+25x-186=0
x^2+31x-6x-185=0
x(x+31)-6(x+31)=0
(x+31)(x-6)=0
so x= 6  the width of the path