Question

The perimeter of floor of rectangular hall is 250m. The cost of white washing its four walls is rs 15000. Find height of room

Answer 1

total area × 1m^2 = total money

Answer 2

The height of the hall is 6 m.

Step-by-step explanation:

Perimeter of the floor of hall = 250 m.

Cost of painting the four walls = Rs.15,000

Let the dimension of rectangular hall be $l\times b\times h$ m.

Area of four walls is given by,

$A= 2lh + 2bhA$

$A=2(l + b) h$ ....(1)

Perimeter of the floor of hall is given by,

$P= 2(l + b)$

We have given P=250 m

$250= 2(l + b)$ ....(2)

Substitute (2) in (1),

$A=250\times h$

$A=250h\ m^2$

Cost of painting per m² area = Rs.10

Cost of painting  $250h\ m^2$ area =  $Rs.250h\times 10$

Cost of painting  $250h\ m^2$ area =  Rs.2500h

The cost of painting the walls is Rs.15000 .

i.e. $2500h=15000$

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

$h=6$

Therefore, the height of the hall is 6 m.

#Learn more

"Question 3 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 m^2 is Rs.15000, find the height of the hall. [Hint: Area of the four walls = Lateral surface area.]

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