Construct a parallelogram ABCD in which BC = 5 cm, CD = 3 cm and diagonal BD = 6 cm.

Steps of construction:

1. Draw BC = 5 cm.

2. With B as centre and radius = 6 cm, draw an arc.

3. With C as centre and radius = 3 cm, draw another arc, cutting previous arc at D.

4. Join BD and CD.

5. With B as centre and radius = 3 cm draw an arc.

6. With D as centre and radius = 5 cm, draw another arc,cutting previous arc at A.

7. Join AD and AB.

Hence, ABCD is the required parallelogram.