The length, breadth and height of a room are 1, b and h respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls is
- A100 h
- B100/hCorrect
- Ch
- Dh/100
Explanation
To find the correct answer, we use the formulas for the perimeter of the ceiling and the area of the four walls.
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The perimeter of the ceiling of a room with length l and breadth b is 2 multiplied by the sum of l and b. Formula: 2(l + b).
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The total area of the four walls is the perimeter of the floor multiplied by the height h. Formula: 2(l + b)h.
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To express the perimeter as a percentage of the total area of the four walls, we divide the perimeter by the area and multiply by 100.
Calculation: Percentage = (Perimeter / Area of four walls) multiplied by 100 Percentage = (2(l + b) / 2(l + b)h) multiplied by 100
The term 2(l + b) cancels out from the numerator and the denominator, leaving: Percentage = (1 / h) multiplied by 100 Percentage = 100/h
Therefore, the correct option is B.
