Question

the cost of papering the Wall of room 12m long @ rupees 1.35 per square metre is rupees 340. 20 because of matting the floor at rupees 0.85 per square metre rupees 90 1.80 find the height of the room​

Answer 1

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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

Height of room is 6m....