Area - Quickbytes Education

What is Area in Geometry?

The area in geometry is the amount of two-dimensional space covered by a shape, measured in square units. For example, the area of a rectangle is calculated as $\text{length} \times \text{width}$ .

Example 1: Finding the Area of a Rectangle

Problem: A rectangular garden is 10 meters long and 6 meters wide. What is the area of the garden?

Solution: To find the area of a rectangle, we use the formula:

$A = \text{length} \times \text{width}$

Here, the length is 10 meters, and the width is 6 meters. Plugging in these values:

$A = 10 \times 6$

$A = 60 , \text{square meters}$

So, the area of the garden is 60 square meters.

Example 2: Finding the Area of a Triangle

Problem: A triangular park has a base of 8 meters and a height of 5 meters. What is the area of the park?

Solution: To find the area of a triangle, we use the formula:

$A = \frac{1}{2} \times \text{base} \times \text{height}$

Here, the base is 8 meters, and the height is 5 meters. Plugging in these values:

$A = \frac{1}{2} \times 8 \times 5$

$A = \frac{1}{2} \times 40$

$A = 20 , \text{square meters}$

So, the area of the park is 20 square meters.