Question 1162715
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Your setup equation is

    x + (4x-1) = 14.


where x is the shorter piece.


From the equation

    5x = 14 + 1 = 15.

     x          = 15/5 = 3.


<U>ANSWER</U>.  The shorter piece is 3 ft long.  The other piece is 14-3 = 11 ft long.
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Solved.