Question

A rectangular grassy lawn measuring 40 m by 25 m is to be surrounded externally by a path which is 2 m wide. Calculate the cost of leveling the path at the rate of Rs 8.25 per square meter.

Answer 1

Let PQRS be the rectangular grassy lawn and let length = AB and breadth = BC

Given Length AB = 40 m and breadth BC = 25 m

Area of lawn PQRS = 40 m x 25 m = 1000 m²

Length AB = (40 + 2 + 2) m = 44 m

Breadth BC = (25 + 2 + 2) m = 29 m

Area of ABCD = 44 m x 29 m = 1276 m²

Now, Area of the path = Area of ABCD – Area of the lawn PQRS

= 1276 m² – 1000 m² 

= 276 m²

Rate of levelling the path = Rs. 8.25 per m²

Cost of levelling the path = (8.25 x 276)

= Rs. 2277