# Area of a Square Formula

In geometry a Square is a flat figure or shape which has four equal sides and every angle is a right angle i.e. 90° and it shows equal sides. From this it follows that the opposite sides are also parallel. It is also described as a rectangle which has two adjacent sides have equal length. The area of a square found out by the amount of space occupied within the square. Below mentioned is the formula to calculate the area of square. It is best known of the quadrilaterals in geometry. A square is simply a specific case of a regular polygon, in this case with 4 equal sides. All the facts and properties described for regular polygons apply to a square.

\[\LARGE Area\:of\:a\:Square\:Formula=a^{2}\]

Where,

a is the length of the side of a square

a is the length of the side of a square

### Solved Examples

**Question 1:**Find the area of the square of side 16 cm ?

**Solution:**

Side of the square = a = 16 cm

Area of the square

= a

= 16

= 256 cm

Area of the square

= a

^{2}= 16

^{2}cm^{2}= 256 cm

^{2}**Question 2:**Find the length of the square whose area is 529 cm

^{2}?

**Solution:**

Area of the square = A = 529 cm

^{2}**Side of the square = a = ?**

Area of the square = A = a

⇒ 529 cm

⇒ a = $\sqrt{529}$

⇒ a = 23 cm

^{2}⇒ 529 cm

^{2 }= a^{2 }⇒ a = $\sqrt{529}$

⇒ a = 23 cm

Hence the length of the side of this square is 23 cm.