Speaker placement. a stereo receiver is in a corner of an 18 -ft by 24 -ft room. speaker wire will run under a rug, diagonally, to a speaker in the far corner. if 4 feet of slack is required on each end, how long a piece of wire should be purchased?

Question

Macy Johnson

Mathematics

30 May, 20:17

Speaker placement. a stereo receiver is in a corner of an 18 -ft by 24 -ft room. speaker wire will run under a rug, diagonally, to a speaker in the far corner. if 4 feet of slack is required on each end, how long a piece of wire should be purchased?

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Answers (1)

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Zack Friedman · Answer 1

The length of wire to be purchased will be found as follows:

c²=a²+b²

c²=18²+24²

c²=900

c=√900

c=30 ft

Thus the length of the wire will be:

30+4+4

=38 ft