Answer: Option A
:

Steps of Construction
Step I Draw HO = 6 cm.
Step II With H as centre and radius HE = 4 cm, draw an arc.
Step III With O as centre and radius OE = 3 cm, draw an arc intersecting the arc drawn in step II at E.
Step IV With E as centre and radius EM = 6 cm, draw an arc opposite to the side HE.
Step V With O as center and radius OM = 4 cm, draw an arc, intersecting the arc drawn in step IV at M.
Step VI Join HE, OE, EM and OM.
Hence, HOME is the required parallelogram.