Question

The surface of a swimming pool is rectangular in shape and measures 12 metre by 20 metre. A concrete walk 2 metre wide is to be built around the surface of the pool. What will be the surface area of the walk?

Answer 1

Hi,

1 ) Dimensions of the rectangular

Swimming pool are,

Length = l = 20 m

Breadth = b = 12 m

Area of the pool = l × b

= 20 × 12

= 240 m^2 ------( 1 )

2 ) width of the walk around

the pool = w = 2 m

Dimensions of the new rectangle after walk,

Length = L = l + 2w

L = 20 + 2 × 2

L = 24 m

Breadth = B = b + 2w

B = 12 + 2 × 2

B = 16 m

Area of the new rectangle = 24 m × 16 m

= 384 m^2 ---( 2 )

Surface area of the walk = ( 2 ) - ( 1 )

= 384 - 240

= 144 m^2

I hope this helps you.

:)