The floor of a rectangular hall has a perimeter $250 m$ . If the cost of painting the four walls at the rate of $R s . 10$ per $m^{2}$ is $R s . 15000$ , find the height of the hall.

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Solution

Area of walls = $2 h (l + b)$

Area of walls = $\frac{c o s t}{R a t e} = \frac{15000}{10} = 1500 m^{2}$

So $1500 = 2 h (l + b)$
$1500 = h [2 (l + b)]$
$1500 = h (250)$
$h = 6 m$

The height of the hall is $6$ m

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Similar questions

Q. The floor of a rectangular hall has a perimeter 250m. 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.

Q. 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^{2}

is Rs.

15000

, find the height (in cm) of the hall.
(Hint: Area of the four walls = Lateral surface area)

The floor of a rectangular hall has a perimeter $250 m$ . If the cost of panting the four walls at the rate of $R s . 10$ per $m^{2}$ is $R s .15000$ , find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]

Q. The floor of a rectangular hall has a perimeter

250 m

. If the cost of painting the four walls at the rate of

R s 10 p e r m^{2}

R s 15000

, find the height of the hall in meters.

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 $m^{2}$ is $15000$ , find the height of the hall (in meters).

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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 m2 is Rs. 15000, find the height of the hall.

Area of walls = 2h(l+b)Area of walls = costRate=1500010=1500m2So 1500=2h(l+b) 1500=h[2(l+b)] 1500=h(250) h=6mThe height of the hall is 6 m

The floor of a rectangular hall has a perimeter $250 m$ . If the cost of painting the four walls at the rate of $R s . 10$ per $m^{2}$ is $R s . 15000$ , find the height of the hall.

Area of walls = $2 h (l + b)$

Area of walls = $\frac{c o s t}{R a t e} = \frac{15000}{10} = 1500 m^{2}$

So $1500 = 2 h (l + b)$
$1500 = h [2 (l + b)]$
$1500 = h (250)$
$h = 6 m$

The height of the hall is $6$ m