Need help a rectangular garden is 50m long and 45 m broad A path 2m wide is. running inside the garden . Calculate the cost of gravelling the path at rs 40 per square meter

A rectangle garden is 50m long and 45 m broad. A path 2m wide is. running inside the garden.Area of the rectangular garden = (50 × 45) square metres = 2250 square metres.Area of the rectangle which is left after the path is paved = [(50-2×2)×(45-2×2)] square metres = [(50-4) × (45-4)] square metres = (46 × 41) square metres = 1886 square metres.Therefore, the area of the path = (2250 - 1886) square metres = 364 square metres.Therefore, the cost of gravelling the path at Rs. 40 per square metre = Rs. (40 × 364) = Rs. 14560.

Answer:

Rs. 14560

Hope you could get an idea from here.

Doubt clarification - use comment section.

In rectangle ABCD

L=50mB=45m

In rectangle PQRS

L=50-2=48mB=45-2=43m

Now

Cost:-

32.10 is the correct answer