around a square pool, there is a footpath of width 2m. If the area of the gootpath is 5/4 times that of pool, find the area of the pool
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Caroline134:
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Let the side of the square be x
Area of square = x2
Area of footpath = (x+4)2
now,
(x+4)2 -x2 = 5/4x2
solving it we get the equation....
5x2 - 32x - 64 = 0
solving this equation....
x = 8
therefore
Area of pool = (8+4)the whole square
= (12)the whole square
= 144m2
hope it helps you
✌✌✌
Area of square = x2
Area of footpath = (x+4)2
now,
(x+4)2 -x2 = 5/4x2
solving it we get the equation....
5x2 - 32x - 64 = 0
solving this equation....
x = 8
therefore
Area of pool = (8+4)the whole square
= (12)the whole square
= 144m2
hope it helps you
✌✌✌
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