A square is a two-dimensional plane shape having four equal sides and all four angles equal to 90 degrees, according to geometry. The features of a rectangle are similar to those of a square, however, the difference is that a rectangle only has equal opposite sides. Let us understand the perimeter of square and its area.
What is a Square?
The square is a regular quadrilateral with all four sides equal in length and all four angles equal. The square’s angles are right angles or equal to 90 degrees. In addition, the square’s diagonals are equal and bisect each other at 90 degrees.
A square is a four-sided polygon with all four sides equal in length and all angles measuring 90 degrees. The square’s shape is such that if a plane is sliced through it from the center, both parts are symmetrical. Each half of the square now resembles a rectangle with equal sides on both sides.
The Perimeter of a Square:
The length of a square’s arms or sides is known as its perimeter. A square’s perimeter is obtained by adding all of its sides together. The perimeter of a square, formulas, and derivations, as well as solved sample questions, are all addressed here.
What is a Square’s Perimeter?
A closed geometrical object’s perimeter is defined as the distance surrounding that thing. The perimeter of a square is computed by adding its four sides. Knowing that all of a square’s sides are equal, its perimeter will be 4 times its side or 4 Side. The formula for the perimeter of the square = 4 × Side
Derivation of a Square’s Perimeter Formula:
The perimeter of the square is stated or recognized as the length of the boundary of a square.
The Perimeter of the square formula expressed by mathematicians is given below,
Perimeter = Total Sum of the lengths of 4 sides = side + side + side + side = 4 × side
Consequently, the perimeter of Square is equal to 4s units, Where s is the provided length of a square
Area of a Square:
The number of square units required to fill a square is known as its area. In general, the area is defined as the space inside a flat object’s or 2d figure’s boundary. The measurement is done in square units, with square meters being the usual unit (m²). The object’s area is the amount of space it takes up. It’s the area that every shape can occupy. We only consider the length of a square’s side when calculating its area. A square’s area is equal to the square of its sides, hence its area is equal to the square of its sides.
Area of a Square Formula:
Let’s try utilizing graph paper before moving on to the area of a square formula for computing the occupied region. You must calculate the area of a 5 cm side. Draw a square on graph paper with 1 cm squares using this dimension. The square is made up of 25 squares in total.
Thus, the area of square is 25 square cm that is obtained with the aid of the above properties provided. These can be listed down as 5 cm × 5 cm, that is, side × side.
From the above discussion, it can be understood and grasped that the formula that can give the area of a square is:
Area of a Square = Side × Side
Therefore, the area of a square is equal to Side2 square units and the perimeter of a square is equal to 4 × side units. Here some of the unit conversion lists are provided for reference for a better understanding:
- 1 m = 100 cm
- 1 sq. m = 10,000 sq. cm