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The square is a key geometric figure with equal sides and angles, making it both a rectangle and a rhombus. Its properties, such as congruent sides, right angles, and bisecting diagonals, contribute to its symmetry and regularity. Understanding how to calculate its perimeter and area is essential for various applications in construction, art, and design. The square's geometric perfection is evident in its simple computational formulas and its omnipresence in everyday life.

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## Definition and Characteristics of Squares

### Definition of a Square

A square is a quadrilateral with four equal sides and four right angles

### Symmetry and Regularity of Squares

Symmetry of Sides and Angles

Squares have equal sides and angles, making them highly symmetrical

Diagonals of Squares

The diagonals of a square are equal in length, intersect at right angles, and bisect each other

### Relationship to Other Quadrilaterals

Squares share properties with both rectangles and rhombi, serving as a bridge between the two

## Mathematical Properties of Squares

### Perimeter of a Square

The perimeter of a square can be calculated by adding the lengths of all four sides

### Area of a Square

The area of a square is determined by multiplying the length of one side by itself

### Practical Applications of Perimeter and Area

The formulas for perimeter and area of a square are useful in tasks such as measuring and covering square surfaces

## Importance of Understanding Squares

### Relevance in Geometry

A thorough understanding of squares is crucial in the study of geometry

### Applications in Daily Life

Squares are omnipresent in our daily lives, found in various objects and structures

### Computational Methods

The simplicity of the formulas for perimeter and area of a square make them fundamental in various disciplines, such as construction and design

Algorino

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