The breadth ‘b’ of a room is twice its height and half of its length. Find the length of
the longest diagonal of the room.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. √21b/2
Given that
The breadth ‘b’ of a room is twice its height and half of its length
b = 2h = l/2
The length of the longest diagonal of the room = √(l2 + b2 + h2)
= √(4b2 + b2 + (b/2)2) = √21b/2