Area Of Square: Formula, Definition, Examples, Problems

Area of a Square: The area of a square can also be referred to as space needed to fill a square. In a 2D figure, the area of a square is defined as the region occupied inside the boundaries. Since each side of a square is equal to other sides, its area can be calculated by doing the product of its two sides. For instance, to find the area of a swimming pool that is square in shape, we will need to know one side of the pool and multiply it from another side. We have added the formulae to calculate the area of a square in this comprehensive article.

We have also added some of the most FAQs regarding calculating the area of a square so students can be at ease while solving problems. Pay close attention to the properties of the area of the square added to this page to have a deeper understanding of- the calculation of square area. While calculating the area, it is ensured that all sides of the shape are equal. It is also represented as m2. While we have to multiply one side of the square to find the area of area, the same process is not followed when calculating the diagonal and perimeter of a square.

Area of a Square: Definition

The area of a square is defined as the space occupied by the two-dimensional figure. We all know that a square is a regular polygon consisting of four equal sides. It has four right angles measuring 90 degrees and sides parallel to each other. It also consists of four vertices. The area of a square is equal to the length of the sides. It is denoted as m².

Properties of the area of a square:

A square is a quadrilateral with four equal sides and four equal internal angles.
The opposite sides of the square are parallel to each other.
It is a rhombus with four equal angles (each angle equals 90°).
A square is a rectangle with two adjacent sides equal.
It is a parallelogram with all four internal angles equal to 90° and adjacent sides equal in length.
The diagonals of a square are equal in length, bisect each other, and are perpendicular to each other.
Each diagonal of a square divides the square into two equal, isosceles triangles.
The length of the diagonals are
The radius of the incircle is equal to half of the side of the square.

Area of Square: Formulas

To calculate the area of a square, we must understand that it is equal to the sides of the square. It is measured in square meters.

Area of Square = Side x Side sq. unit

Area = a²

Where a is the length of the sides.

Download NCERT Solutions for Class 7 Maths Chapter 11 PDF

Area of a Square: Example Problems

Check the following examples to get an idea of calculating the area of a square as mentioned below:

Example 1: Find the area of a square whose length is 80 cm.

Solution: Given, a= 80 cm

Area of square = a²

= 80 x 80 = 160 sq.cm

Therefore, the area of square is 160 sq. cm

Example 2: If the square table is 50 m. What is the area of a table?

Solution: Given, a= 50 m

Area of square = a²

= 50 x 50 = 250 sq. m

= 250 sq.m

Therefore, the area of a square is 250 sq.m

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FAQs on Area of a Square

The frequently asked questions on the area of a square are given below:

Q. What is the area of a square?
A. The area of the square is the space occupied by a two-dimensional plane.

Q. What are the properties of Square?
A: A Square has the following properties:
1. All four interior angles are equal and each measures 90°.
2. All four sides of the square are congruent or equal to each other.
3. A square is a rectangle with two adjacent sides equal.

Q. How is the area of a diagonal calculated?
A. The area of the diagonal is calculated by doing the d=2√a,

Q. What are real-life examples of a Square?
A: Some of the real-life examples of a Square are Carrom Board, Square tiles, Square-shaped table, etc.

Q. What is the formula of the area of a square?
A. The formula of area of a square is A= a² (side x side)

Also, check:

Area of a Circle	Area of a Triangle
Area of Rectangle	Area of a Parallelogram
CBSE NCERT Solutions	NCERT Solutions for Class 7

Now that we have provided you with information on the area of a square. We hope that you make good use of it. Practice online tests at Embibe for effective preparation of exams. We hope this article on the Properties of Square helps you.

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