The sides of a parallelogram are 1: 3, the perimeter is 48 cm. Find the sides of a parallelogram.

Let us denote by a the length of that side of the given parallelogram, which is the smaller.

In the initial data for this task, it is reported that the lengths of this geometric figure are related as three to one, therefore, the length of that side of this parallelogram, which is larger, should be equal to 3a cm.

It is also known that if you add up the lengths of all sides of a given geometric figure, then the result will be 48 centimeters, therefore, we can draw up the following equation:

a + 3a + a + 3a = 48,

solving which, we get:

8a = 48;

a = 48/8 = 6 cm.

Find the length of the second side:

3a = 3 * 6 = 18 cm.

Answer: 6 cm and 18 cm.