2021 · Q66
The length and breadth of a room are 21 m and 16 m respectively. If the length of the longest rod that can be placed in the room is 29 m, then what is the height of the room ?
Elementary MathematicsMensuration
- A10 m
- B11 m
- C12 m
- D13 m
Explanation
The longest rod is the space diagonal: √(21² + 16² + h²) = 29. Squaring, 441 + 256 + h² = 841, so h² = 144 and h = 12 m. This is option (c).