Find the sides of the parallelogram ABCD, if its perimeter is 54 cm, and the side AB is 2 times more than BC.

Let x denote the length of the BC side of this parallelogram.

According to the condition of the problem, the side AB a of this parallelogram is 2 times larger than its side BC, therefore, the length of the side AB is 2x.

It is also known that the perimeter of this parallelogram is 54 cm, therefore, we can draw up the following equation:

2 * (x + 2x) = 54.

Solving this equation, we get:

2 * 3x = 54;

6x = 54;

x = 54/6;

x = 9 cm.

We find the length of the side AB:

2x = 2 * 9 = 18 cm.

Answer: the lengths of the sides of this parallelogram are 9 cm and 18 cm.



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