# The ratio of the height of a room to its semi-perimeter is 2:5. It costs Rs. 260 to paper the walls of the room with paper 50 cm wide at Rs. 2 per m allowing an area of 15 sq. m for doors and windows. The height of the room is (a) 2.6 m (b) 3.9 m (c) 4 m (d) 4.2 m

## Question ID - 50057 :- The ratio of the height of a room to its semi-perimeter is 2:5. It costs Rs. 260 to paper the walls of the room with paper 50 cm wide at Rs. 2 per m allowing an area of 15 sq. m for doors and windows. The height of the room is (a) 2.6 m (b) 3.9 m (c) 4 m (d) 4.2 m

3537

Let  and

Length of the paper =  m.

Area of the paper  =

Total area of 4 walls =

Height of the room = 4 m.

Next Question :

The length, breadth and height of the room are in the ratio 3:2:1. The breadth and height of the room are halved and length of the room is doubled. The area of the four walls of the room will

(a) Decrease by 13.64%                             (b) Decrease by 15%

(c) Decrease by 18.75%                             (d) Decrease by 30%