The sides of the parallelogram are 1: 2 and its perimeter is 30cm, find the sides of the parallelogram.

We denote by x the length of that side of this parallelogram that is smaller.

In the initial data for this task, it is reported that the lengths of this geometric figure are related as one to two, therefore, the length of that side of this parallelogram, which is larger, should be equal to 2x cm.

It is also known that if you add up the lengths of all sides of a given geometric figure, the result will be three tens of centimeters, therefore, we can draw up the following equation:

x + 2x + x + 2x = 30,

solving which, we get:

6x = 30;

x = 30/6 = 5 cm.

Find the length of the second side:

2x = 2 * 5 = 10 cm.

Answer: 5 cm and 10 cm.