Question

A rectangular playground is 65m long and 30m wide. A pathway of 1.5 m width goes all around the ground, outside it. Find the area of the pathway.

Answer 1

The playground is rectangular. 

Rs.ABCD is the playground. Around it is a pathway 1.5 m wide. 

Around Rs.ABCD we get the rectangle 

Rs.PQRS 

Length of new rectangle PQRS = 65 + 1.5 + 1.5 = 68 m 

Breadth of new rectangle PQRS = 30 + 1.5 + 1.5 = 33m 

Area of path = Area of rectangle PQRS – Area of rectangle ABCD 

= 68 x 33 – 65 x 30 

= 2244 – 1950 

= 294 sq m