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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 m^2 is Rs 15000, find the height of the hall.

Q : 3        The floor of a rectangular hall has a perimeter \small 250\hspace {1mm} m. If the cost of painting the four walls at the rate of Rs 10 per \small m^2 is Rs 15000, find the height of the hall.

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

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N Nehul

Given,

Perimeter of rectangular hall = \small 250\hspace {1mm} m

Cost of painting the four walls at the rate of Rs 10 per \small m^2 = Rs 15000

Let the height of the wall be h\ m

\therefore Area to be painted = Perimeter\times height

= 250h\ m^2

\therefore Required cost = 250h\times10\ m^2 = 15000\ m^2

\\ \implies 2500h = 15000 \\ \implies h = \frac{150}{25} = 6\ m

Therefore, the height of the hall is 6\ m

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