Question

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❒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’is* 15000, find the height of the hall.
[Hint: Area of the four walls = Lateral surface area.]​

Answer 1

Step-by-step explanation:

Perimeter=250m

⇒Area of 4 walls =2lh+2bh

=2(b+l)h

⇒Perimeter of floor of wall =2l+2b

⇒2(l+b)=250 m

∴ Area of 4 walls =2(l+b)h

=250h m 2

⇒Cost of painting per m 2

area = Rs. 10

⇒Cost of painting 250h m

area = Rs(250h×10)

= Rs.2500h

⇒Painting cost of walls = Rs. 15000

⇒2500h=15000

⇒h= 2500 15000

⇒h=6m

Answer 2

Answer: answer 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)=250 m

∴ Area of 4 walls =2(l+b)h  =250h m²

 ⇒Cost of painting per m² area = Rs. 10

⇒Cost of painting 250h m² area = Rs(250h×10)  

= Rs.2500h

⇒Painting cost of walls = Rs. 15000

⇒2500h=15000

⇒h=  15000 /2500  

⇒h=6m