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.​

Answer 1

Given:

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Perimeter of the hall = 250 m

Cost of painting the four walls at the rate of ₹10 per m$^{2}$ is ₹15000

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To find:

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Height of the hall.

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Solution:

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Let the height of the hall be h metres. Then,

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

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= 250 × h

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= 250 h m$^{2}$

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Since, cost of painting of 1 square metre was ₹10 then cost of painting of the four walls

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= 250 h × 10

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= ₹ 2500 h

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According to the question, cost of painting of the four walls is ₹ 15000.

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So, 2500 h = 15000

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$\implies$ h = 15000/2500 = 6

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Hence, height of the hall is 6 m.

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:

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What is the Height of the hall ?

Solution:

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Consider the height of the hall be h metres.

So , ⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀

= 250 × h

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= 250 h m²

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

= 250 h × 10

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= ₹ 2500 h

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

⠀Then , 2500 h = 15000

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h = 15000/2500

H = 6

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$\therefore\underline{\boxed{\textsf{H = {\textbf{6}}}}} \qquad\qquad \bigg\lgroup\bold{Height \ of \ the \ hall \ is \ 6 m} \bigg\rgroup$