Question

the cost of carpeting a room 15m long with a carpet of width 75 cm at r80 per metre is r19200 find the width of the room

Answer 1

Length of the room 315 m
Area of the room 15 x b= 15b m
Total cost of carpeting Rs 19200
Cost of carpet per metre Rs 80
Length of the carpet 19200/80=240 m
Width of the carpet 75 cm=0.75 m
Area of the carpet 240 x 0.75
Area of the room= Area of the carpet
15b =240 x 0.75
b=(240 x 0.75)/15 =12

Answer 2

Answer:

Let the width of the room be 'b' m

Length of the room = 15 m

Area of the room = 15 × b = 15b m2

Total cost of carpeting = Rs 19200

Cost of carpet per metre = Rs 80

Length of the carpet = 19200 / 80 = 240 m

Width of the carpet = 75 cm = 0.75 m

Area of the carpet = 240 x 0.75

Area of the room = Area of the carpet

⇒15b = 240 × 0.75

⇒ b = (240 × 0.75) / 15 = 12

Therefore, width of the room is 12 m.