A square is a closed two-dimensional quadrilateral having four equal sides and angles. The opposite sides are parallel to each other and all angles are equal to 90 degrees. Here in this article, we will learn about the formulas of the square including perimeter and **area of square**.

Table of Contents

**What do you mean by the area of a square?**

When it comes to defining the area of a square, it can be said that it is the number of square units that are required to fill the total amount of space bounded by the four equal sides of the square. In simple words, the area of the square can be referred to as the total amount of region enclosed in the four sides of the square. The measurement unit of area is given by square units.

**What is the formula to calculate the area of the square?**

Algebraically, the area of a square can be calculated by squaring the value given as the length of the side of a square. When the value of side is given, then the formula to calculate the area of a square is,

**Area of a square = Side x Side = (Side)**^{2}

The area of a square can also be calculated with the given value of the diagonal of a square. The mathematical formula used to calculate the area of a square with a given diagonal is,

**Area of a square = Diagonal**^{2}**/2**

**Important notes to keep in mind when calculating the area of a square:**

- Most people when calculating the area of a square makes a common mistake. They instead of squaring the side of the square, double the value given as the side of the square which is not correct. Always keep in mind that the area of a square is calculated by multiplying the value of side by two times (side x side), not by doubling it (2 x side).
- After calculating the value as the area of a square, do not forget to write its unit. Are being two-dimensional, is represented by square units.

**What do you mean by the perimeter of a square?**

When it comes to defining the perimeter of a square, it can be said that it is the total distance that is covered by all four sides of the square. In simple words, the perimeter of a square is the total length covered by its boundary. The measurement unit of the perimeter is given by units.

**What is the formula to calculate the perimeter of a square?**

Algebraically, the perimeter of a square can be calculated by adding the value of all four sides of the square. When the value of the sides is given, then the formula to calculate the perimeter of a square is,

**Perimeter of a square = 4 x side**

The perimeter of a square can also be calculated with the given value of the diagonal of a square. The mathematical formula used to calculate the perimeter of a square with a given diagonal is,

**Perimeter of a square = (√2 × diagonal/2) × 4 = 2√2 × diagonal units**

The perimeter of a square can also be calculated with the given value of the area of a square. The mathematical formula used to calculate the perimeter of a square with a given area of the square is,

**Perimeter of a square = (√area) × 4 = 4√area units**

**Bottom Line**

Now that you know how to calculate the area and **perimeter of square**, get worksheets from **Cuemath** to practice what you have learned. It is an online educational platform using which you can not only learn mathematical concepts but also get worksheets having questions related to your syllabus.