A stereo system is being installed in a room with a rectangular floor measuring 12 feet by 9 feet and a 7 foot ceiling. The stereo amplifier is on the floor on 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 apply the Pythagorean theorem)
A stereo system is being installed in a room with a rectangular floor measuring 12 feet by 9 feet and a 7 foot ceiling. The stereo amplifier is on the floor on 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 apply the Pythagorean theorem)
Solution
the answer is 22 ft. length of wire is required as the length of diagonal of the room is 15ft and the ceiling is 7ft high
15ft.+7ft=22ft
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A stereo system is being installed in a room with a rectangular floor.docx
1. A stereo system is being installed in a room with a rectangular floor measuring 12 feet by 9 feet
and a 7 foot ceiling. The stereo amplifier is on the floor on 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 apply the Pythagorean theorem)
A stereo system is being installed in a room with a rectangular floor measuring 12 feet by 9 feet
and a 7 foot ceiling. The stereo amplifier is on the floor on 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 apply the Pythagorean theorem)
Solution
the answer is 22 ft. length of wire is required as the length of diagonal of the room is 15ft and the
ceiling is 7ft high
15ft.+7ft=22ft
