Question

The cost of papering the walls of the room 12 m long at the rate of Rs.1.35 per metre square is Rs.340.20 and the cost of matting the floor at the rate of 85 praise per metre square is Rs.91.80. Find the height of the room

Answer 1

Total cost of matting floor = Rs 91.80

rate of matting = 0.85 / m2

Then area of floor = 91.80 / 0.85 = 108 m2

But are of floor = l * b = 108 m2

given l = 12m

then b= 108/12 = 9m

Cost of papering wall = Rs 340.20

Rate of papering = 1.35 / m2

Total surface area of walls = 340.20 / 1.35 = 252 m2

But surface are of walls can be written as = 2* (l+b) * h

or 252 = 2* (l+b) * h = 2* (12+ 9 ) * h

or h = 252/ 42 = 6 m

Therefore height of the room is 6 m