2021 AMC 12A Problem 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?

\textbf{(A) }2\sqrt{10} \qquad \textbf{(B) }5\sqrt2 \qquad \textbf{(C) }10\sqrt2 \qquad \textbf{(D) }15\sqrt2 \qquad \textbf{(E) }10\sqrt5

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.