Q. 95.0( 1 Vote )

# 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.

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 m^{2}

⇒ h = 6 m

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