Question

The dining-hall of a hotel is 75 m long; 60 m broad and 16 m high. It has five – doors 4 m by 3 m each and four windows 3 m by 1.6 m each. Find the cost of :

(i) papering its walls at the rate of Rs.12 per m²;
(ii) carpetting its floor at the rate of Rs.25 per m².

Answer 1

Length of the dining hall of a hotel = 75 m

The breadth of the dining hall of a hotel = 60 m

Height of the dining hall of a hotel = 16 m

(i) Area of four walls of the dining hall = 2[L+B) x H = 2(75 + 60) x 16

= `2(135) xx 16`

= `270 xx 16`

= 4320 m²

Area of one door = `4 xx 3` m²

= 12 m²

Area of 5 doors = `12 xx 5 = 60` m²

Area of one window = `3 xx 1.6 = 4.8`m²

Area of 4 window = `4.8 xx 4 = 19.2`m²

Area of the walls to be papered

= 4320 - (60 + 19.2)

= 4320 - 79.2

= 4240.8 m²

Cost of papering the walls @ Rs.12 per m²

= `4240.8 xx 12`

= Rs. 50889.60

(ii) Area of floor = L × B

= `75 xx 60`

= 4500 m²

Cost of carpetting the floor @ Rs. 25 per m²

= 4500 × 25

= Rs. 112500