In mathematics, area is a measurement of the amount of space inside a two-dimensional shape or figure. It is measured in square units, such as square inches (in²), square centimeters (cm²), or square meters (m²). In this lesson, we will learn about the concept of area, how to calculate it, and its applications in real-life situations.

## What is Area?

Area is the measure of the amount of space inside a two-dimensional figure or shape. It can be thought of as the surface covered by the shape. The area of a shape is always expressed in square units. For example, a square with a side length of 5 cm has an area of 25 cm².

## How to Calculate Area?

The formula for calculating the area of a shape depends on the type of shape. Here are some common formulas for calculating the area of different shapes:

- Rectangle: Area = length x width (A = lw)
- Square: Area = side length x side length (A = s²)
- Triangle: Area = (base x height) / 2 (A = bh/2)
- Circle: Area = π x radius² (A = πr²)

## Applications of Area

Calculating area is an important skill in many real-life situations. For example, architects and builders use area to determine the amount of materials needed to construct a building, such as the amount of paint needed to cover a wall or the amount of flooring needed to cover a room. In addition, farmers use area to determine the amount of land needed to grow crops or raise animals. Understanding area is also important in the fields of art, design, and engineering.

## Practice Exercise

Now that you have learned about area, let’s try a practice exercise.

- What is the area of a rectangle with a length of 6 cm and a width of 4 cm?
- What is the area of a circle with a radius of 3 cm?
- What is the area of a triangle with a base of 10 cm and a height of 8 cm?

Answers:

- The area of the rectangle is 24 cm² (A = lw = 6 x 4 = 24).
- The area of the circle is approximately 28.27 cm² (A = πr² = π x 3² ≈ 28.27).
- The area of the triangle is 40 cm² (A = bh/2 = 10 x 8 / 2 = 40).

## Conclusion

Area is an important concept in mathematics that is used to measure the amount of space inside a two-dimensional shape or figure. It is expressed in square units and can be calculated using specific formulas for each type of shape. Understanding area is useful in a wide range of real-life situations, from construction to farming to art and design.