Area of Rectangles and Squares

What is Area?

The area is the amount of surface or region enclosed by a closed figure. It is usually measured in square units (e.g., $cm^2$, $m^2$).

Think of area as the number of unit squares (squares of side 1 unit) needed to cover the surface completely.

Area of a Rectangle

To find the area of a rectangle, we multiply its two dimensions: length and breadth.

Area of a Square

Since a square is a rectangle where length equals breadth, the formula simplifies:

Example Problem

Problem: A floor is $5\text{ m}$ long and $4\text{ m}$ wide. A square carpet of side $3\text{ m}$ is laid on the floor. Find the area of the floor not carpeted.

Solution:

1. Area of Floor = $5 \times 4 = 20\text{ m}^2$.
2. Area of Carpet = $3 \times 3 = 9\text{ m}^2$.
3. Area Not Carpeted = Area of Floor - Area of Carpet = $20 - 9 = 11\text{ m}^2$.