A room whose perimeter of the floor is 200 m and the height is 10 m. The length of the room is 50% greater than the breadth. Find the total cost of whitewashing on the 4 walls of the room if the cost of whitewashing is Rs. 20/m2.

A room whose perimeter of the floor is 200 m and the height is 10 m. The length of the room is 50% greater than the breadth. Find the total cost of whitewashing on the 4 walls of the room if the cost of whitewashing is Rs. 20/m2. Correct Answer Rs. 40000

Given:

Let the breadth of the room be x

The perimeter of the floor of the room = 200 m

Height of the room = 10 m

Formula:

Area of the 4 wall of the room = 2 × (l + b) × height

Where l = length, b = breadth

Calculation:

Perimeter of the floor = 200 m

⇒ 2 × (l + b) = 200 m

Area of the 4 wall of the room = 200 × 10 = 2000 m²

Cost of the whitewashing per m² = Rs. 20

Total cost of the whitewashing = Rs. 20 × 2000 = Rs. 40000

∴ Cost of the whitewashing on the 4 walls of the room is Rs. 40000