A rough sketch of this parallelogram:

(a) Draw a line segment OK of 5.5 cm and a ray at point K at a convenient angle

(b) Draw a ray at point O parallel to the ray at K

The vertices A and Y are 4.2 cm away from the vertices K and O respectively so cut line segments KA and OY, each of 4.2 cm

(c) Join Y to A

OKAY is the required parallelogram