Around a square pool there is a footpath of width 2 m if the area of t

1.	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
Answer» 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 *Hope* *this* *may* *HELP* *you* .

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

Answer»

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

Hope this may HELP you .

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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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