Hi

the second piece must be twice as long as the first piece and the third piece

 must be two feet longer than the first piece.

Let x, 2x and (x+2) represent th elengths of the pieces

Question states***

 x + 2x +(x+2)= 12ft

Solving for x

     4x = 10

      x = 10/4 OR 2.5ft.  Pieces are 2.5ft, 5ft and 4.5ft

CHECKING our Answer***

2.5' + 5' +  4.5 = 12' 

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