A square is a quadrilateral that has:

  • Four equal right angles of 90 degrees each
  • Four equal sides
  • Two by two opposite parallel sides

According to its characteristics, this geometric figure in 2D is different from all other geometric figures. It is easiest to mistake this figure for a rhombus or a rectangle due to their similar characteristics.

Square
Square

The perimeter of a square

The perimeter is L. The formula for calculating the perimeter for this 2D shape is:

Formula for perimeter of a square

The same formula presented as a product is:

Formula for calculating the perimeter of a square

Example 1. A square has a side length of 5cm. Calculate its perimeter!

  • a) It is enough to add the value of the length of the side of 5cm to itself 4 times
  • b) It is enough to multiply the value of the side length of 5cm by 4

The perimeter is 20 centimeters.

Area of a square

The area is P. The formula for calculating the area for this 2D shape is:

Formula for the area of a square

The same formula presented as a power number is:

Formula for calculating the area

Example 2. A square has a side length of 5cm. To calculate its area!

a) It is enough to multiply the value of the side length of 5cm by itself.

b) It is enough to scale the length of the 5cm side by 2.

The area for example number 2 is 25 square centimeters.

Formulas for calculating the perimeter and area of a square are an integral part of tasks in which the perimeter and area of complex figures should be calculated. Also, formulas are in use as part of a task to calculate the area of certain geometric bodies that have a side or more sides that have this type of shape.

The perimeter and area are directly proportional to the length of the side of the square. The bigger the side is, the bigger its area and perimeter!

Often the term “square” can be misunderstood because it can be in use as:

  • name of a geometric figure
  • exponentiation of a number

A square has two diagonals that are the same length. The two diagonals are cut exactly in half and form four equal, right angles. This geometric figure has four axes of symmetry.



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