Question

the floor of a rectangular hall has a perimeter 250 metre. if the cost of painting the four walls at the rate of Rs 10 per meter square is Rs 15000, find the height of the hall.​

Answer 1

Answer:

Let length, breadth, and height of the rectangular hall be I m, b m, and h mrespectively.

Area of four walls = 21h + 2bh =2( l + b )h

Perimeter of the floor of hall =2(l + b) =250 m

Area of four walls =2( l+b )h =250 m2

Cost of painting per m2 area = Rs 10

Cost of painting 250h m2 area = Rs (250h x 10) = Rs 2500h

However, it is given that the cost of painting the walls is Rs 15000.

15000 = 2500h h=6

Therefore, the height of the hall is 6 m.

Answer 2

Explanation:

Let length, breadth, and height of the rectangular hall be l, b, and h respectively.

Area of four walls = 2lh+2bh

= 2(l+b)h

Perimeter of the floor of hall = 2(l+b)

= 250 m

Area of four walls = 2(l+b) h = 250h m2

Cost of painting per square meter area = Rs.10

Cost of painting 250h square meter area = Rs (250h×10) = Rs.2500h

However, it is given that the cost of paining the walls is Rs. 15000.

15000 = 2500h

Or h = 6

Therefore, the height of the hall is 6 m.