Multiple choice

The length and the breadth of a room are 22 metres and 18 metres, respectively. What is the height of the wall, if the total area of the four walls of the room is 1200 square metres?

  1. 7.5 m

  2. 10 m

  3. 12 m

  4. 15 m

  5. None of these

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D Correct answer
Explanation

The area of four walls is 2 * height * (length + breadth). 1200 = 2 * h * (22 + 18) = 2 * h * 40 = 80h. So h = 1200 / 80 = 15.

AI explanation

The total area of the four walls of a room is calculated using the formula 2 times (length plus breadth) times height. Given the area as 1200 square metres, the length as 22 metres and the breadth as 18 metres, we substitute the values to get 1200 equals 2 times (22 plus 18) times h. This simplifies to 1200 equals 2 times 40 times h, or 1200 equals 80 h. Solving for h gives a height of 15 metres.