# The sides of the parallelogram are 1: 2 and its perimeter is 30 cm. Find the sides of the parallelogram.

August 17, 2021 | education

| Given:

ABCE – parallelogram,

AB: BC = 1: 2,

the perimeter of ABCE is 30 centimeters.

Find the lengths of the sides of the parallelogram ABCE: AB, CE, BC, AE -?

Solution:

Consider a parallelogram ABCE. Its opposite sides are equal to each other, then BC = AE, AB = CE.

Let the length of the side AB be x centimeters, then the length of the side BC = 2 * x centimeters. We know that the ABCE perimeter is 30 centimeters. Let’s make the equation:

P avce = AB + CE + BC + AE;

30 = 2 * x + x + 2 * x + x;

x * (2 + 1 + 2 + 1) = 30;

6 * x = 30;

x = 30: 6;

x = 5 centimeters – the lengths of the sides AB and CE;

2 * 5 = 10 centimeters – the lengths of the sides BC and AE.

Answer: 5 centimeters; 5 centimeters; 10 centimeters; 10 centimeters.

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.