Question

the floor of a rectangular hall has a perimeter 250 is the cost of painting the four walls @ rupees 10 per metre square is rupees 15000 find the height of the hall hint of the four walls is equal to lateral surface area ​

Answer 1

Answer:

so the height is 6m

you can got this from the picture

Answer 2

Answer :-

Height of the wall is 6 m.

Explanation :-

Perimeter of a rectangular floor = 250 m

We know that

Perimeter of rectangular floor = 2(l + b)

⇒ 250 = 2(l + b)

We know that

Area of the four walls = Lateral surface area of the hall

Let the height of the hall be h m

Lateral surface area of the hall = {2(l + b)} * h

= 250 * h

[ ∵ 2(l + b) = 250 m ]

= 250h m²

Finding height of the hall

Cost of painting 1 m² area = Rs. 10

Cost of painting 250h m² area = 250h * 10

Given

Cost of painting 250h m² (Area of 4 walls) area = Rs. 15000

⇒ 250h * 10 = 15000

⇒ 250h = 15000/10

⇒ 250h = 1500

⇒ h = 1500/250

⇒ h = 150/25

⇒ h = 6

∴ height of the wall is 6 m.