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

Step-by-step explanation:

lateral surface area = 2 x height (length + wide)

perimeter = 2( length + width)

length + wide = 125

area costing of

lateral surface are painting = 15000/10=1500

m^2

height =1500/250=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.

$\Large{\underline{\underline{\bf{Answer:-}}}}$

$\red{\bigstar}$ Height of Hall [H]

$\huge\leadsto{\sf\purple{6 \: m}}$

Given:

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Perimeter of the hall = 250 m

Cost of painting the four walls at the rate of ₹10 per m² is ₹15000

⠀⠀⠀⠀⠀⠀⠀⠀

To find:

⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀

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