Steps of construction:
I. Draw a line segment OK = 5.5 cm.
II. At K, draw a ray
III. From cut-off KA = 4.2 cm.
IV. With centre at A and radius = 5.5 cm, draw an arc above OK.
V. With centre O and radius = 4.2 cm, draw another arc to intersect the previous arc at Y.
VI. Join YO and YA.
Thus, OKAY is the required parallelogram.