. 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

 

 

 

Talk to Our counsellor