Would you rather take one whole Piece... Or 2 pieces that makes it whole? Both are equally the same i just want to know what YOU would choose.

One entire piece. When split into two, there are fragments that are part of neither piece. It may be inconvenient to have one whole as opposed to two pieces (such as in currency, one $20 note as opposed to two $10 notes), but as a general principle, my statement stands.