Question

The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four
walls at the rate of Rs 10 per m’ is Rs 15000, find the height of the hall.
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Answer 1

Answer:

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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 m

2

⇒Cost of painting per m

2

area = Rs. 10

⇒Cost of painting 250h m

2

area = Rs(250h×10)

= Rs.2500h

⇒Painting cost of walls = Rs. 15000

⇒2500h=15000

⇒h=

2500

15000

⇒h=6m

Answer 2

Answer:

• Perimeter of Floor = 250 m
• Cost of painting four walls = Rs. 15000
• Rate of painting = Rs. 10 per m²
• Height of wall = ?

• According to the Question :

⇢ Cost of painting four walls = Rs. 15000

⇢ CSA × Rate = Rs. 15000

⇢ 2(L + B) × h × 10 = 15000

• Perimeter is given : 2(L + B) = 250 m

⇢ 250 × h × 10 = 15000

⇢ h × 2500 = 15000

⇢ h = 15000 / 2500

⇢ h = 6 m

∴ Hence, height of the hall is 6 meter.