A rectangular playground is 65m long and 30m wide. A pathway of 1.5 m

1.	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» 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

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»

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