To solve this problem you must apply the proccedure shown below:
 1. By definition, the opposite sides of a parallelogram are parallel and have equal length. 
 2. The figure attached shows that the opposite sides with equal length are:
 

 3. Keeping this on mind, you have that the side c and a are equal and measure six centimeters. 
 4. To find the length of the other sides, you must apply the following formula for calculate the perimeter of a parallelogram:
 

 4. If you solve for b, you will obtain the measure of b and d:
 

 Therefore the answer is:
 The lengths of the sides are: 6 cm, 6 cm, 9 cm and 9 cm.