A stereo system is being installed in a room with a rectangular floor measuring 14 feet by 10 feet and a 7-foot ceiling. The stereo amplifier is on the floor in one corner of room. A speaker is at the ceiling in the opposite corner of the room. You must run a wire from the amplifier to speaker, and the wire must run along the floor or walls (not through the air). What is the shortest length of wire you can use for the connection? (Hint: Turn the problem into an equivalent simpler problem by imaging cutting the room along its vertical corners and unfolding is so that it is flat. You will be able to apply the Pythagorean theorem.)

The shortest length of wire that can be used is __ft. (Round to one decimal place as needed.)