Mastering the Mathematics of Squares | Key Properties, Area, and Perimeter

Square

A square is a four-sided polygon with all sides of equal length and all angles at each corner measuring 90 degrees

A square is a four-sided polygon with all sides of equal length and all angles at each corner measuring 90 degrees. It is a special type of rectangle where all sides are equal in length. The square is often denoted by the symbol “□”.

Key properties of a square include:
1. All sides of a square are congruent (equal in length).
2. All angles in a square are right angles (90 degrees).
3. Opposite sides of a square are parallel to each other.
4. Diagonals of a square bisect each other at 90 degrees.
5. The diagonals of a square have equal lengths, forming congruent right triangles.

The area of a square can be found by squaring the length of one of its sides. Thus, if “s” represents the length of a side, the area of a square can be calculated as A = s^2.

The perimeter of a square is found by summing the lengths of all four sides, which can be expressed as P = 4s.

Squares are commonly found in various aspects of everyday life, such as tiles, building structures, and geometric shapes. They provide regularity and symmetry in many contexts, making them important in mathematics and design.

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