The sides of the parallelogram are 6: 9, and the perimeter is 219 cm. Calculate the sides of the parallelogram.

Let us denote by a one sixth of the length of the shorter of the sides of this parallelogram.

Then this length of this side should be 6a cm.

In the initial data for this task, it is reported that if we add up the lengths of all sides of a given geometric figure, the result will be 219 cm, therefore, we can draw up the following equation:

6a + 9a + 6a + 9a = 219,

solving which, we get:

30a = 219;

a = 219/30 = 7.3.

We find the required lengths of the sides:

6a = 6 * 7.3 = c;

9a = 9 * 7.3 = 65.7 cm.

Answer: 65.7 and 65.7 cm.