Question

the floor of a rectangular hall has a perimeter 250 m .if the cost of painting the floor for walls at the rate of ₹ 10 per m square is ₹15000 find the height of the hall

Answer 1

Perimeter of rectangle =2(l+b)

250=2(l+b)

Area of four walls =15000/10 =1500m²

2(l+b) *h =1500

Height =1500/250

Height =6m

Answer 2

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 m2 is ₹15000, find the height of the hall.

Given:

⠀⠀⠀⠀⠀⠀⠀⠀

Perimeter of the hall = 250 m

Cost of painting the four walls at the rate of ₹10 per m² is ₹15000

⠀⠀⠀⠀⠀⠀⠀⠀

To find:

⠀⠀⠀⠀⠀⠀⠀⠀

What is the Height of the hall ?

Solution:

Consider the height of the hall be h metres.

So , ⠀⠀⠀⠀⠀⠀⠀⠀

Area of the four walls = Perimeter of the floor × Height

⠀⠀⠀⠀⠀⠀⠀⠀

= 250 × h

⠀⠀⠀⠀⠀⠀⠀⠀

= 250 h m²

⠀⠀⠀⠀⠀⠀⠀⠀

From the given cost of painting of 1 square metre was ₹10 then cost of painting of the four walls is

= 250 h × 10

⠀⠀⠀⠀⠀⠀⠀⠀

= ₹ 2500 h

⠀⠀⠀⠀⠀⠀⠀⠀

As per the Question the cost of painting of the four walls is ₹ 15000.

⠀Then , 2500 h = 15000

⠀⠀⠀⠀⠀⠀⠀⠀

$h \: = \frac{15000}{2500}$

Height of the hall = 6m .