[This problem is worth 3 points.]
A gecko is in a room that is 12 feet long, 10 feet wide, and 8 feet tall. The gecko is currently on a 10 x 8 side wall, one foot from the ceiling and one foot from the back 12 x 8 wall. The gecko spots a fly on the opposite side wall, one foot from the floor and one foot from the front wall. What is the length of the shortest path the gecko can take to reach the fly, assuming it can only walk across the ceiling and walls?
