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A hospital room is to accommodate 56 patients. It should be done in such a way that every patient gets 2.2 m 2 of floor and 8.8 3 of space. If the length of the room is 14 m, then breadth and height of the room are respectively?

8.8 m, 4 m
8.4 m, 4.2 m
8 m, 4 m
7.8 m, 4.2 m

Correct Answer: 8.8 m, 4 m

Explanation:

Let the breadth and height of room be m and h m, respectively.
Then, according to the question, l x b = n x Area occupied by one patient
⇒ 14 x b = 56 x 22
∴ b = (56 x 22)/14 = 8.8 m³
∴ h x Area of occupied by one patient = 8.8
h = 8.8/2.2
h = 4 m

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