Determine the area of a 6 cm square.

Determine the area of ​​a square with a side of 6 cm
S = a ^ 2, where a is the side of the square.

We know that the side of the square is a = 6 cm.

Square properties:

All sides of a square are equal;
The diagonals of the square are equal and perpendicular;
the diagonals are the bisectors of its corners;
The diagonals divide the square into 4 isosceles triangles.
In order to find the area of ​​a square, you need to substitute the known values ​​into the formula for the area of ​​a square and calculate its value. That is, we get:

S = a ^ 2 = (6 cm) ^ 2 = 6 ^ 2 cm ^ 2 = 36 cm ^ 2.

From this we got that the area of ​​the square is S = 6 cm ^ 2.

Find the perimeter of the square
Let’s write the formula for the perimeter of a square:

P = 2 * (a + a);

We open the brackets. To do this, the value in front of the brackets, we multiply by each value in the brackets, and add them in accordance with their signs. Then we get:

P = 2 * (a + a) = 2 * 2 a = 4 * a, where a is the side of the square.

We know that a = 6 cm.

In order to find the perimeter of a square, you need to substitute the known values ​​into the formula for the perimeter of the square and calculate its value. That is, we get:

P = 4 * a = 4 * 6 cm = 24 cm.

From this, we found that the perimeter of the square is P = 24 cm.