. The floor of a rectangular hall has a perimeter 250m
If the cost of painting the four walls at the rate of 10 per m2 is 15000, find the height of the hall (in meters).
Best Answer
Explanation:
Perimeter of the floor of a rectangular hall = 250m
The cost of painting the four walls at the rate of 10 per m2 =15000
Let us assume that the length of the rectangular hall = l
Let us assume that the breadth of the rectangular hall = b
Let us assume that the height of the rectangular hall = h
The area of the 4 walls of the rectangular hall =
⇒2Ih+2bh
⇒2(I+b)h
The floor of the hall has a perimeter 2(I+b)= 250m
Hence, the area of the 4 walls of the rectangular hall = 250h m2
We are given the cost per meter square = 10 rupees
So cost of painting per = 250hm2=(250h×10) rupees =2500h rupees
The cost of painting 4 walls is given to us as 15000 rupees
2500h=15000
h=15000/2500
h=6
Final Answer:
The height of the hall (in meters) = 6m
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