KöMaL 2016 C1388

The front and back edges of a rectangular billiards table are 90 cm long, while the left and right edges are 180 cm long. A ball situated 10 cm from the front edge and 15 cm from the left edge is hit. Rebounding from the front edge, then from the right edge, it rolls along the shortest possible path into the hole of the back left corner. What is the total distance covered by the ball until it sinks in the hole? (Ignore the size of the ball and of the hole.)