The perimeter of the parallelogram is 24cm, one side is 2 times the other side. Find these sides.

Given:
ABCE – parallelogram,
AB = 2 * BC,
the perimeter of ABCE is 24 centimeters.
Find the lengths of the sides of the parallelogram ABCE: AB, CE, BC, AE -?
Solution:
Consider the parallelogram of AВСD. His opposite sides are equal to each other, then BC = AE, AB = CE = 2 * BC.
Let the length of the BC side be x centimeters, then the length of the AB side = 2 * x centimeters. We know that the ABCE perimeter is 24 centimeters. Let’s make the equation:
x + x + 2 * x + 2 * x = 24
6 * x = 24;
x = 24: 6;
x = 4 centimeters – the lengths of the sides BC and AE;
4 * 2 = 8 centimeters – the lengths of the sides AB and SD.
Answer: 4 centimeters; 4 centimeters; 8 centimeters; 8 centimeters.