Question

length of a room is one and half times of its breadth the cost of carpenting the room at rs 3.25per m2 is rs 175.50 and the cost of papering the walls at rs.1.40 per m2 is rs.240.80 if 1 door and 2 windows occupy 8m2 find the dimensions of the room

Answer 1

Let the breadth of the room be b .

Then, length of the room l = 1.5 b

Area carpeted by Rs 3.25 = 1m2

area carpeted with Rs 175.50 is the area of the floor.

the area of the floor =

therefore lb=54

(1.5b)*b=54



therefore the breadth of the room  is 6 m.

length of the room =1.5*6= 9 m

let the height of the room be h m.

 

area of the walls =

since 1 door and 2 windows occupy 8 meter square.

therefore area of papering =30h-8  meter square......(1)

 

cost of papering the walls at Rs. 1.40 per m2 is Rs. 240.80.

therefore area of papering = 

from the (1)



therefore the height of the room is 6 m.

hence the dimensions of the room is 9*6*6