Now, in this blog, we will study the perimeter and area of squares. Let us find the perimeter and area of a square.

To find the area we take a square of side �a� whose length and breadth are equal. Now, take a strip of length a, which can be moved from side AB to CD. In this process, this strip covered an area of �a into a�. So, the area of the square of side �a� is equal to (a square) that is; side square.

Now, the perimeter of a square is the distance around the outside of the square. A square has four sides of equal length. The formula for finding the perimeter of a square is 4 into (Length of a Side).

Area of Square

Let the side of the square be a.

Area of the square = a x a = a² = (side)²

Perimeter of the square = a + a + a + a = 4 x a = 4 x side

Examples

Example: Find the area and perimeter of the squares given in the figure.

Solution: In the figure, side of square ABCD = 1 cm

Area of square ABCD = (AB)² = (1)² = 1 cm²

Perimeter of square ABCD = 4(AB) = 4(1) = 4 cm

Area of square PQRS = (PQ)² = (3)² = 9 cm²

Perimeter of square PQRS = 4(PQ) = 4(3) = 12 cm

Read More:
What is the Area of a Rectangle: Definition, Formula and Examples