What is Square?

Square is one of the most commonly known quadrilaterals whose all interior angles & all four sides are equal. Here you will learn the Area of Square & its properties.

A square is a special case of an isosceles trapezoid, kite, parallelogram, quadrilateral, rectangle, rhombus, and trapezoid.

Area of Square

Area = side²

Area of Square = s² square units.

Where,
“s” is the side of the square

Perimeter of Square

The perimeter of a square found by adding all the sides.

Perimeter = s + s + s + s
Perimeter = 4s

P = 2 x side units

Diagonals of a Square

A square has two diagonals, they are equal in length and intersect in the middle.

The diagonals of the square divide the square into two equal right angle triangle.
The length of Diagonal of a square can be found by using pythagorus theorem in the anyone of the right-angle triangle formed by diagonal.you will find given formula of the length of diagonal of the square.

Hypotenuse2 = Perpendicular² + Base² (Pythagorus theorem)
d² = s² + s²
d² = 2s²

Diagonal = side x √2

d = s√2
Where,
“d” is the diagonal

Properties of Square

• All sides of a square are parallel. (AB || CD & BC || AD).
• All sides of a square are equal. (AB = CD = BC = AD).
• Each of the interior angles of a square is 90°
• The diagonals of a square bisect each other.
• The diagonals bisect each other at 90° or right angles
• The sum of the interior angles of the square is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360°

I hope, this article will help you lot to understand the Area of Square & it’s Properties, & in solving various problems related to this article, if you still have any doubts related to this article, you can ask it into the comment section. If you have any problem in any topic of mathematics you can post your problem in the comment section. You will get a reply shortly.

Related Topic:

Rhombus
Introduction of Parallelogram
Area Of Rectangle & Its Properties , Definition, Perimeter & Formula