A stereo system is being installed in a room with a rectangular floor measuring 17 feet by 12 feet and an 11-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 the 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 imagining cutting the room along its vertical corners and unfolding it so that it is flat. You will be able to apply the Pythagorean theorem.)

The shortest length of wire that can be used is
nothing ft.

asked by wyatt

5 years ago

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1 answer

did you follow the suggestion?
Fold down the walls, so you have the floor with a rectangle on each side. The ceiling can be discarded, since the wire doesn't have to run along the ceiling.

answered by oobleck

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Question

A stereo system is being installed in a room with a rectangular floor measuring 17 feet by 12 feet and an 11​-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 the​ 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 imagining cutting the room along its vertical corners and unfolding it so that it is flat. You will be able to apply the Pythagorean​ theorem.)
The shortest length of wire that can be used is 
nothing ft.

oobleck · Answer

did you follow the suggestion? Fold down the walls, so you have the floor with a rectangle on each side. The ceiling can be discarded, since the wire doesn't have to run along the ceiling.