The perimeter of the parallelogram is 12 m. find its sides if it is known that one of them is 2 m longer than the other.

In order to find the lengths of the sides of a parallelogram, let’s create and solve a linear equation in one variable.

Let’s take a look at what has been given to us. It is known that the perimeter of a parallelogram is 12 meters. It is also known that one of the sides is 2 meters larger than the other.

Let us denote by the variable x meters the length of one of the sides of the parallelogram, then (x + 2) meters is the length of the second side of the parallelogram.

P = 2 (a + b);

Let’s make the equation:

2 (x + (x + 2)) = 12;

x + x + 2 = 12: 2;

2x + 2 = 6;

2x = 6 – 2;

2x = 4;

x = 4: 2;

x = 2 meters length of one side, 2 + 2 = 4 meters length of the second side.