find the length of the longest poke that can be placed on floor of a room 12m long and9mbroad
Answers
I think,your question is as follows :
The cost of preparing the walls of the room 12m long at the rate of Rs.1.35per square meter is Rs.340.20 and the cost of matting the floor at 85 paise per m² is Rs. 91.80.find the height of the room.
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Length of the room, l = 12 m
Let the breadth be b and height be h of the room.
Then,area of the room = l × b
= 12 × b = 12b m²
Cost of matting the floor = 85 paise/m²
= Rs 0.85/m² (in rupees)
Total cost of matting the floor = cost of matting the floor per m² × area of the room
= Rs 0.85 × 12b
0.85 × 12b = 91.80
12b = 91.80/0.85
12b = 108
b = 108/12
b = 9
Breadth of the room,b = 9 m
Area of walls of the room = 2h (l + b)
= 2h (12 m + 9 m)
= 2h (21)
= 42h m²
Cost of preparing the walls = Rs 1.35 / m²
Total cost of preparing the walls = Rs 1.35 × 42h
Rs 1.35 × 42h = Rs 340.20
42h = 340.20/1.35
42h = 34020/135
42h = 252
h = 252/42
h = 6
∴ Height of the room is 6 m
Hope it helps