The perimeter of the rectangle is 22 cm, the length of one side is 6 cm, how much is the area.

1. To solve the given problem, it is necessary to find the second side of the rectangle. This is easy to do because we know the perimeter and one of the sides. Once the second side is found, the area can be calculated.

2. To find the second side, you need to remember the mathematical formula for finding the perimeter of a rectangle:

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

3. Substitute in the formula the known values ​​of P = 22 cm, a = 6 cm, and find the unknown side at:

P = (a + b) * 2;
22 = (6 + b) * 2;
6 + b = 22: 2;
6 + b = 11;
b = 11 – 6;
h = 5.

4. Having the value of the second side, we calculate the area from the formula:
S = a * b;
S = 6 * 5 = 30 cm2.

Answer: S = 30 cm2.