Question

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four
walls at the rate of Rs.10 per m2
is Rs.15000, find the height of the hall?

Answer 1

Answer:

Height of hall would be 6m

Answer 2

Given :

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000

To Find :

Find the height of the hall?

Solution :

We know that,

Perimeter of Rectangle = 2 (L + B)

➵ 250 = 2(L + B)

➵ (L + B) = 250/2

➵ 125m Taking as....( i )

Then,

Area of 4 walls

Area of Cuboid - Area of floor - Area Of top

➵ 2 (lb + bh + h) - (l × b) - (l × b)

➵ 2 (lb + bh + hl) - lb - lb

➵ 2h × (l + b)

➵ 2h × 125 From.... ( i )

➵ 250h m²

Area of 4 walls = 250h m²

Then,

Cost of painting per 1m² = Rs 10

Cost of painting per 250h m² = 10 × 250

➵ 15000 = 2500h

➵ 15000/2500 = h

H = 6m

Therefore,The Height of the wall is 6m