The breadth b b b of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.

Question

The breadth bb of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.

Options

A.

20b2\frac{\sqrt{20} b}{2}

B.

b2\frac{b}{2}

C.

21b2\frac{\sqrt{21} b}{2}

D.

19b2\frac{\sqrt{19} b}{2}

cuboiddiagonalgeometrylengthbreadthheight

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