The length and breadth of a room are in a ratio 3 : 2. The cost of carpeting the room at Rs 25 per m 2 is Rs 1350 and the cost of papering the four walls at Rs 15 per m 2 is Rs 2580. If one door and two windows occupy 8m 2 , find the dimensions of the room.

Question

Philoid · Accepted Answer

Area of the floor

Given that length and breadth are in ratio 3:2, so l = 3x and b = 2x

⇒ l= 9 m and b =6 m

Lateral surface area of a cuboid = 2(Length +Breadth) ×Height

Lateral surface area

Adding door and window, Lateral surface area = 180 m²

⇒ h = 6 m

The length and breadth of a room are in a ratio 3 : 2. The cost of carpeting the room at Rs 25 per m2 is Rs 1350 and the cost of papering the four walls at Rs 15 per m2 is Rs 2580. If one door and two windows occupy 8m2, find the dimensions of the room.

The length and breadth of a room are in a ratio 3 : 2. The cost of carpeting the room at Rs 25 per m² is Rs 1350 and the cost of papering the four walls at Rs 15 per m² is Rs 2580. If one door and two windows occupy 8m², find the dimensions of the room.