In a parallelogram, opposite sides are equal in length, and the diagonals bisect each other. If we take point E to be the midpoint of segment AC (the diagonal of the parallelogram), then segments BE and DE will also be equal as they are both halves of the diagonal.
Thus, if segment BE measures 11 units, then segment DE will also measure 11 units.
Therefore, the length of segment DE is 11 units.