The perimeter of a parallelogram is 48 cm, calculate the lengths of its sides if one of them is half the size of the other.

In order to find the sides of a parallelogram, we will recall the properties of the sides of a parallelogram and the formula for finding the perimeter of a parallelogram.

It is known from the condition that one of the sides of the parallelogram is 2 times smaller than the other, and its perimeter is 48 cm.

We denote one pair of sides as x cm, then we write the length of the second pair of sides as 2x cm.

P = 2 (a + b);

2 (x + 2x) = 48;

x + 2x = 48: 2;

x (1 + 2) = 24;

3x = 24;

x = 24: 3;

x = 8 cm is the length of one pair of sides of the parallelogram, then 8 * 2 = 16 cm is the length of the second pair of sides.