Question

Around a square pool,there is a footpath of width 2m.if the area of footpath 5/4times that of the pool,find the area of pool.

Answer 1

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