Mastering the Basics: Understanding the Properties and Calculations of Squares in Geometry

Square

a rectangle with four equal sides, four right angles, and four vertices

A square is a two-dimensional shape that has four equal sides and four equal angles, each measuring 90 degrees. It is considered a special case of a rectangle, as it satisfies all the properties of a rectangle, and in addition, all of its sides are equal in length. The opposite sides of a square are parallel, and the diagonals bisect each other at right angles. The area of a square is calculated by multiplying the length of one side by itself (squared), denoted by the formula A = s^2, where A is the area and s is the length of a side. The perimeter, or the total distance around the outside of the square, is calculated by adding all four sides, denoted by the formula P = 4s, where P is the perimeter and s is the length of a side. Squares are commonly found in mathematics, art, and everyday objects, and have important applications in geometry, physics, and computer science.

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