Question

The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four
walls at the rate of 10 per m’is15000, find the height of the hall.
(Hint: Area of the four walls =Lateral surface area.]​

Answer 1

Answer:

The height of the hall is 6 m

Step-by-step explanation:

Given :

perimeter = 250m

=> Area of 4 walls = 2lh + 2bh

= 2 (b + l) h

=> perimeter of floor of wall = 2l + 2b

=> 2 (l +b) = 250m

therefore ,

Area of 4 walls = 2 (l + b ) h

= 250h m square

Now,

cost of painting per m square area = ₹ 10

cost of painting 250h m square area

= ₹ 250 h × 10

= ₹ 2500h

=> painting cost of walls = ₹ 15000

=> 2500h = ₹ 15000

=> h = 15000 / 2500

=> h = 6 m

Hence , the height of the hall is 6 m