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IMAS 2023–2024 Junior Division — First Round Question 18

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 18

A ball is shot from corner $A$ of a $2\times1$ rectangular billiard table. The ball bounces three times off the walls and then falls into one of the corners of the table. The dashed line is one possible path. What is the longest path it could have possibly travelled?

Question illustration
  1. $\sqrt{17}$
  2. $2\sqrt5$
  3. $2\sqrt{10}$
  4. $\sqrt{65}$
  5. $9$