UPSC Prelims 1997·GS1

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

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Last updated 23 May 2026, 3:31 pm IST
  1. A100 h
  2. B100/hCorrect
  3. Ch
  4. 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. 1. 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). 2. The total area of the four walls is the perimeter of the floor multiplied by the height h. Formula: 2(l + b)h. 3. 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.
UPSC Prelims: The length, breadth and height of a room are 1, b and h respectively. The perimeter of the ceiling expressed as a percen