The perimeter of the parallelogram is 24 cm. It is known that one side is 2 times larger than the other.

The perimeter of the parallelogram is 24 cm. It is known that one side is 2 times larger than the other. Find the sides of the parallelogram.

In order to find the sides of a parallelogram, we will compose and solve a linear equation.

To compose the equation, we will use the formula for finding the perimeter of a rectangle.

P = 2 (a + b), where a and b are the length and width of the rectangle.

The condition says that one side is 2 times larger than the other, that is, if we denote the smaller side using the variable x cm, then the larger side will be equal to 2x cm.

We get the equation:

2 (x + 2x) = 24;

x + 2x = 24: 2;

3x = 12;

x = 12: 3;

x = 4 cm is the smaller side and 4 * 2 = 8 cm is the larger side of the rectangle.