Question

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

Answer 1

Answer:

Let the side of the square pool be x

then, (x+2)

2

−x

2

=

4

5

x

2

x

2

+4+4x−x

2

=

4

5x

2

16+16x=5x

2

5x

2

−16x−16=0

x=

10

16±

256+320

=

10

16±24

= 4,

5

−4

Hence, area of pool = 4

2

=16m

2