A stereo system is being installed in a room with a rectangular floor measuring 17

17 feet by 14

14 feet and a

a 13

13-foot ceiling. The stereo amplifier is on the floor in one corner of the room. A speaker is at the ceiling in the opposite corner of the room. You must run a wire from the amplifier to thespeaker, and the wire must run along the floor or walls(not through theair). What is the shortest length of wire you can use for theconnection? (Hint: Turn the problem into an equivalent simpler problem by imagining cutting the room along its vertical corners and unfolding it so that it is flat. You will be able to apply the Pythagoreantheorem.)

The shortest length of wire that can be used is

ft.

(Round to one decimal place asneeded.)