The cost of painting the four walls of a room 12 m long at RS. 30 per m 2 is RS. 7560 and the cost of covering the floor with mat at RS. 25 per m 2 is RS. 2700. Find the dimensions of the room.

Question

Philoid · Accepted Answer

Given:

Length = 12 m

Cost per meter = Rs 30

Total cost = Rs 7560

Cost per meter for floor = Rs 25

Total cost for floor = Rs 2700

Let height be h

Now,

= 108 m²

= 9 m

= 252 m²

Area of 4 walls = 2(Length of walls × Height of walls) + 2(Breadth of walls × Height of walls)

⇒ 252 = 2(12 × h) + 2(9 × h)

⇒ 252 = 24h + 18h

⇒ 252 = 42h

⇒ h = 6 m

Therefore,

Dimensions = 12 m × 9 m × 6 m

The cost of painting the four walls of a room 12 m long at RS. 30 per m2 is RS. 7560 and the cost of covering the floor with mat at RS. 25 per m2 is RS. 2700. Find the dimensions of the room.

The cost of painting the four walls of a room 12 m long at RS. 30 per m² is RS. 7560 and the cost of covering the floor with mat at RS. 25 per m² is RS. 2700. Find the dimensions of the room.