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In this article, we will learn what the square is, what are its

 most important characteristics,  what are its most important laws, and the difference between the rhombus and the square,

 and we will solve the most important questions in it. We will

 learn all of that and more on our Mathematics page in English

? What is the definition of the square and its characteristics

A square can be defined as a quadrilateral geometric shape, all of

 which are equal in length, and made up of four internal angles, each

 measuring 90 degrees. The square is also defined as a special case of

 the states of the rectangle, as it is similar to the rectangle With the

 four straight sides, and with the right internal angles measuring 90

 degrees, in addition to its diagonals bisecting each other, and every

 two opposite sides in it are parallel and equal, but it differs from the

 rectangle in that all its sides are of equal length, and its diagonals

 are perpendicular to the rectangle, in addition to what Previously,

 the square is characterized by the following properties

• The diagonals of a square are equal as you bisect its corners.
• The diagonals of a square divide it into two congruent right and isosceles triangles, the area of ​​each triangle equals half the area of ​​the square, and the length of its hypotenuse is equivalent to the length of each diagonal of the square.
• The sum of each of its two adjacent angles equals 180 degrees, and the sum of its four angles equals 360 degrees of quadrilateral
• Every two opposite sides are parallel
• It contains four sides, so it differs from the triangle

The square can be defined by other geometric shapes

1. A  square  is a rectangle in which two adjacent equal sides are equal
2. A square  is a diamond with right angles
3. A square  is a parallelogram in which two adjacent sides are equal and one of its angles is right
4. The square  is a rhombus whose diagonal is equal to
5. The square  is a rectangle perpendicular to its diagonal

?What is the difference between square and rhombus

Both rhombus and square are quadrilaterals, and are classified as

 states of parallelograms; Where each of them has four sides, each of

 which is opposite sides parallel, and all of them are equal in length,

 and their diagonals are perpendicular to each other, except that all

 the diagonals and the rhombus are: that all the angles of the group

 and the rhombus are: are equal in length, while the diagonals of the

 rhombus are not equal in Their length can be said to be a given

 square, but every square is a square.

?How do we calculate the area of ​​a square

The area of ​​a square can be calculated in several ways, namely:

• Find the area of ​​a square by its side length: if the side length is known, for example: if the side length is 5 cm, then its area: m = 5 x 5, and equals 25 cm 2.
• Finding an area by the length of its diagonal: If the length of the diagonal of a square is defined by the area in the area by dividing the square of the diameter by 2, the area of ​​which the diameter is (s), then the area of ​​the area is equal to m = ½ x s 2 Example example: If there is a square whose diameter is equal to 10 cm, then the area of ​​the area is equal to m = ½ x 102, and from it the area of ​​this square is 50 cm 2.
• Finding an area through the value of its perimeter: if the perimeter of a square is the known perimeter, then the value of its side length can be calculated using the formula x = h 4, if: h is the perimeter of the square, and x is the length of its side, then calculate the area using the previous formula: M =2 x; For example, if a square has a perimeter =, 20 cm, then the length of its side (x) = 20/4 = 5 cm, and its area: M = 52, and of which the area / area equals 25 cm 2
  
  

?How to calculate the perimeter of a square

The perimeter of a square is defined as the area around it, and it is

 calculated simply by the following

• The perimeter of the square by the length of its side: by adding the lengths of the sides of the square, throughout the area surrounding the square. , And x: is the side length; For example, if the area’s side length = 6 cm, its circumference = 6 x 4 = 24 cm
• Finding a circumference through the length of its diameter :: the circumference can also be calculated when knowing the length of its diameter by the following formula: V = 4 x (2 / S 2) √; Where H: the perimeter of the square, S: the diameter.

questions 

Example & square side length = 6 cm, perimeter  &

Solve a math problem 1- Write the law of the perimeter of a

 square = side length x 4

2- We substitute in the law and then find the solution - the

 perimeter of the square = 6 x 4 = 24 cm

Example  & the square of the side length = 6 cm, the area of &

Solve for 1-We write the formula for area of a square = length

 of side x itself

2- We substitute in the law and then find the solution - the area

 of the square = 6 x 6 = 36 cm 2

Example  & the square of the length of the diameter = 8 cm,

 the area of &

Mathematics Problem 1 - We write the law of area of a square

 = half length of the diameter x length of the diameter

2- We substitute in the law and then find the solution - the area

 of the square = 4 x 8 = 32 square cm

Example  & square perimeter = 20 cm, side length & square

Solve the problem 1- Write the law of the side length = the

 perimeter of the square ⁄ 4

2- We substitute in the equation and then find the solution -

 find the side length = 20 ⁄ 4 = 5 cm

Example & a square whose area = 49 square cm, if its side

 length &

The plan for solving the problem 1 - We write the law of the

 side length of a square = the square root of the area

2- We substitute in the equation and then find the solution -

 find the side length of the square = root 49 = 7 cm