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

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**Step-by-step explanation:**

Let the side of the square pool be x

then, (x+2)2−x2=45x2

x2+4+4x−x2=45x2

16+16x=5x2

5x2−16x−16=0

x=1016±256+320

= 1016±24

= 4,5−4

Hence, area of pool = 42=16m2

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