Question

How to find area and perimeter of a square

Answer 1

The perimeter of any closed geometrical object is defined as the distance around that object.

Perimeter of a square:

Let the side of the square be $a$ units.

The perimeter of a square is the distance covered by its four equal sides.

Perimeter of the square $=(a+a+a+a)$ units

$\Rightarrow$ Perimeter of the square $=4a$ units. (Where, $a$ is the side of the square).

Area:

The region enclosed by the figure's boundary is known as an area.

Area of the square:

The area of a square is the measure of the space or surface occupied by it.

It is equal to the product of the length of its two sides.

Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Observe the green square shown below. It has occupied $25$ squares.

Therefore, the area of the square is $25$ square units.

From the figure, we can observe that the length of each side is $5$ units.

Therefore, the area of the square is the product of its sides.

Area of square

$=$ side $\times$ side

$=5\times 5$

$=25$ square units.

Now, let the side of the square be $a$ units.

Since the area of a square is the product of its two sides.

i.e., Area of the square with side is $a$ units ,

$=a\text{units}\times a\text{units}$

$=a^2\text{square units}$