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2021 AMC 12A Question 11

AMC12 · 2021 AMC 12A

Question 11

A laser is placed at the point $(3, 5).$ The laser beam travels in a straight line. Larry wants the beam to hit and bounce off the $y$-axis, then hit and bounce off the $x$-axis, then hit the point $(7, 5).$ What is the total distance the beam will travel along this path?
  1. $2\sqrt{10}$
  2. $5\sqrt{2}$
  3. $10\sqrt{2}$
  4. $15\sqrt{2}$
  5. $10\sqrt{5}$