The perimeter of a parallelogram is 16 cm and one side is three times smaller than the other. What is the largest side?

In order to find the lengths of the sides of a parallelogram, we will compose and solve an equation.

Let’s see what we know from the problem statement. It is known that the perimeter of a parallelogram is 16 cm. It is also known that one of the sides is 3 times smaller than the other.

Let’s denote the length of one of the sides of the parallelogram using the variable x cm, then the length of the second side can be written as 3x cm.

We are looking for the perimeter by the formula:

P = 2 (a + b);

2 (x + 3x) = 16;

x + 3x = 16: 2;

x (1 + 3) = 8;

4x = 8;

x = 8: 4;

x = 2 cm one side and 3 * 2 = 6 cm large side.