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If the area coverage of one sprinkler is 20 m2, with a maximum and minimum spacing of 4.6 m and 1.8 m respectively, the minimum number of sprinklers required to be arranged in a regular orthogonal grid to cover the area of a 15 m × 20 m room would be _______.
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- 5
- 10 to 15
- 20 to 20
- 40 to 40
Correct Option: C
For minimum no. of sprinklers, the spacing between them should be maximum.
Let us assume that shape of area coverage of the sprinkler is square. As area coverage of one sprinkler is 20 m2,
so the side of the square = √20 = 4.47
and satisfies 1.8 < 4.47 < 4.6
