utets13 q105

105The height of a room is x and the area of two adjacent walls of room are y and z respectively. The area of the roof of room will be

Option : A
Explanation : Given height of a room be x,
Let length of room be l and breadth be b, respectively, then,
bh = y and lh = z
⇒ bx = y and lx = z
∴ b = y/x and l = z/x
So, area of roof = l = b = (z/x) × y/x
= yz/x²

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