Question

A stereo system is being installed in a room with a rectangular floor measuring 1818 feet by 1313 feet and aa 1212-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.)

Answer #1

A stereo system is being installed in a room with a rectangular
floor measuring 13 feet by 8 feet and a 7-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...

A stereo system is being installed in a room with a rectangular
floor measuring 20 feet by 13 feet and an 8?-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...

A stereo system is being installed in a room with a rectangular
floor measuring 15 feet by 12 feet and a 9-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...

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