The cost of papering the four walls of a room is 12m long at rs 6.50 per square meter is rs 1638 and the cost of matting the floor at rs 3.50 per square meter is rs 378 find the height of the room
Answers
#BAL
Let the length of room = l = 12 m
breadth of room = b m
height of room = h m
Cost of matting the floor @ Re. 0.85 per m² = Rs. 91.80
floor area = 91.80 / 0.85 = 108 m²
⇒ l × b = 108
⇒ 12 × b = 108
⇒ b = 108/12
⇒ b = 9 m
cost of papering wall @ Rs. 1.35 per m² = Rs. 340.20
wall area is the lateral surface area.
wall area = lateral surface area = 340.20 / 1.35 = 252 m²
⇒ 2h(l+b) = 252
⇒ 2h(12+9) = 252
⇒ 2h×21 = 252
⇒ h = 252/(2×21)
⇒ h = 6 m
Answer:
Height = 6m
Step-by-step explanation:
length of room (l)=12m
area of floor =l×b=12×b
Total cost of matting floor =12×b×3.50=378
42b=378
b=9m
Area of walls of the room =2h(l+b)
=2h(12+9)
=42hm²
Total cost of papering walk =42h×6.50=1638
273h=1638
h=6m.