Area of Two-Dimensional Figures

To find the area of two-dimensional figures, we use specific formulas depending on the shape. The area represents the amount of space inside a shape.

Common Area Formulas:

• Square: Area = $s^{2}$ where $s$ is the length of a side.
• Rectangle: Area = $l \times w$ where $l$ is the length and $w$ is the width.
• Triangle: Area = $\frac{1}{2} \times b \times h$ where $b$ is the base and $h$ is the height.
• Circle: Area = $\pi r^{2}$ where $r$ is the radius.

Example Problem:

Find the area of a triangle with a base of 10 units and a height of 5 units.

1. Identify the formula for the area of a triangle:
   Area = $\frac{1}{2} \times b \times h$
2. Substitute the values into the formula:
   Area = $\frac{1}{2} \times 10 \times 5$
3. Perform the multiplication:
   Area = $\frac{1}{2} \times 50$
4. Calculate the final area:
   Area = $25$ square units.

Key Questions:

• What is the area of a rectangle with length 8 and width 3?
• How do you find the area of a circle with a radius of 4?
• What is the area of a square with a side length of 6?
• If a triangle has a base of 12 and a height of 8, what is its area?
• Can you explain how to find the area of a trapezoid?

Keywords:

• Area
• Triangle
• Rectangle
• Circle
• Square
• Formula