We know that the diagonals of a parallelogram bisect each other.
Steps of Construction:
(i) Draw AB =5.8 cm.
(ii) With A as center and radius 4.1cm, draw an arc.
(iii) With B as center and radius 3.1 cm draw another arc, cutting the previous arc at O.
(iv) Join OA and OB.
(v) Produce AO to C such that OC = AO and produce BO to D such that OD = OB.
(vi) Join AD, BC and CD.