Question

A rectangular lawn is 30 m by 20 m. It has two roads each 2 m wide, running down the
middle of it, one parallel to length and the other parallel to the breadth. Find the area of the roads.

Answer 1

Answer:

Correct option is

C

81 m2

Let ABCD and PQRS be two roads in lawn.

Then EFGH is the region common to both of roads.

∴ Area of two roads = Area ABCD + Area PQRS - Area EFGH

= (20 × 3) m2 + (10 × 3) m2 - (3 × 3) m2

= 60 m2 + 30 m2 - 9 m2

= 81 m2

Hence the area of the cross roads is 81 m2