# The parallelogram perimeter is 32 cm, one of its sides is 6 cm larger than the other. Find the larger side of the parallelogram.

March 26, 2021 | education

| 1. Let’s denote the smaller side of the parallelogram through x cm.

2. Determine the large side of the parallelogram:

(x + 6) cm.

3. Let’s compose and solve the equation:

(x + (x + 6)) * 2 = 32;

(x + x + 6) * 2 = 32;

(2x + 6) * 2 = 32;

4x + 12 = 32;

4x = 32 – 12;

4x = 20;

x = 20: 4;

x = 5.

4. The length of the shorter side of the parallelogram is x = 5 cm.

5. What is the longest side of the parallelogram?

x + 6 = 5 + 6 = 11 (cm).

Answer: The large side of the parallelogram is 11 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.