Draw a parallelogram ABCD in which AB = 5 cm, AD= 4 cm, and the perpendicular distance between AB and CD is 3 cm.

 

Steps of Construction:

 

1. Draw AB of length 5 cm

 

2. Make an angle of  90^o at A.

 

3. Cut AE = 3 cm

 

4. Make an angle of  90^o at E.

 

5. Cut AD = 4 cm to meet the ray of right angle at point D.

 

6. With B as center  and radius equal to 4 cm, draw an arc.

 

7. With D as center  and radius equal to 5 cm, draw an arc cutting the previous  arc at C.

 

8. Join BC and DC.

 

ABCD is the required parallelogram.