Question 1163969
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All lengths are odd numbers; the sum of three odd numbers is always an odd number.<br>
Minimum length with three pieces: 3*7 feet = 21 feet.
Maximum length with three pieces: 3*11 feet = 33 feet.<br>
It should be easy to see, by playing with the different lengths -- or by logical reasoning -- that a total length that is any odd number of feet between 21 and 33 inclusive is possible.<br>
ANSWER: 7 different lengths -- 21, 23, 25, 27, 29, 31, and 33 feet.<br>