• # What is a square?

������������������������������������ ����������������������������������������Lilya Mayak ������������������������������������
��������������������������������������������May 8, 2015

A square is a geometric figure with equal sides and angles. This is most of us know from school. But what properties it has and how its area and perimeter are calculated, unfortunately, not everyone remembers.

Therefore, this article will discuss what a square is, in more detail.

## Basic definition and properties of a square

So, the square is a regular quadrilateral (rectangle) with equal sides and angles. The rectangle is a parallelogram, therefore, the square should also be considered a parallelogram. In addition, given that all sides of the square have the same length, it is also a rhombus. Thus, we can conclude that the square has certain properties of both a rhombus and a rectangle.

What are the properties of the square? First, all the angles are straight, and the diagonals and sides of such a rectangle are equal to each other. Secondly, the diagonals of the square are not only mutually perpendicular, but also act as bisectors of the angles of the quadrilateral. At the intersection point they are divided in half.

## How to calculate the perimeter and area of a square

To calculate the area and perimeter of a square, it is necessary to know the value of one side of a given rectangle or diagonal. Since the sides have the same length, in order to find out the perimeter of the square, one should multiply the side value by 4 or simply add up all 4 sides: the resulting sum is the perimeter. For example, the length of one side of your square is 5 cm. Therefore, you need to multiply 5 by 4 (5 x 4 = 20) or add up all the sides: 5 + 5 + 5 + 5 = 20. This is the easiest way to calculate.

The perimeter of the square is also calculated using the value of the diagonal. First read our article on How to find the diagonal of a square. The perimeter of the square is equal to the product of the length of the diagonal by 2 roots of 2. This means that if the diagonal length of your square is 10 cm, then you should derive the root from 2 (which will be approximately 1.4) and multiply by 2, then by length. Thus, 1.4 x 2 x 10 = 28 cm (if rounded). That is, the perimeter of a square with a diagonal of 10 cm will be equal to about 28 cm.

A simple method is used to calculate the area of a square: the length of one side should be squared. So, if it is 4 cm, then 4 should be multiplied by 4.It turns out that the square of a square with a side of 4 cm is equal to 16 cm.

You can also find out the area, if you know the length of the diagonal. It must be squared, but then divided by 2. So, if the diagonal is 6 cm, then 6 x 6 = 36, then 36: 2 = 18. The area of the square with a diagonal of 6 cm is 18 cm.

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