The perimeter of the parallelogram is 68 cm. One of the sides is 4 cm larger than the other. Find the largest of the sides.

In order to find the larger side of the parallelogram, we will compose and solve equations. To compose the equation, we will apply the formula to find the perimeter.

We know that the perimeter of a parallelogram is 68 cm. It is also known that one side of a parallelogram is 4 cm larger than the other.

We denote by the variable x cm – the smaller side of the parallelogram, then the larger side can be written as (x + 4) cm.

P = 2 (a + b);

2 (x + (x + 4)) = 68;

x + x + 4 = 68: 2;

2x + 4 = 34;

2x = 34 – 4;

2x = 30;

x = 30: 2;

x = 15 cm is the length of the smaller side, and 15 + 4 = 19 cm is the length of the larger side of the parallelogram.