To calculate the area of the given figure, we need to break it into two shapes:

1. The rectangle at the bottom.
2. The triangle at the top.

Step 1: Calculate the area of the rectangle

The rectangle has:

• Width: 8 m
• Height: 3 m

$\text{Area of rectangle} = \text{width} \times \text{height} = 8 \, \text{m} \times 3 \, \text{m} = 24 \, \text{m}^2$

Step 2: Calculate the area of the triangle

The triangle has:

• Base: 8 m (same as the rectangle's width)
• Height: 4.8 m

$\text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 8 \, \text{m} \times 4.8 \, \text{m} = 19.2 \, \text{m}^2$

Step 3: Total area of the figure

Add the areas of the rectangle and triangle:

$\text{Total area} = \text{Area of rectangle} + \text{Area of triangle} = 24 \, \text{m}^2 + 19.2 \, \text{m}^2 = 43.2 \, \text{m}^2$

Final Answer:

The total area of the figure is 43.2 m².

Let me know if you need further explanation or additional details!

Here are 5 related questions for you to explore:

1. What is the formula for calculating the area of a triangle?
2. How would the total area change if the triangle's height increased by 1 meter?
3. How do composite figures like this relate to real-world applications?
4. What is the perimeter of this shape if all sides are given?
5. How would the area change if the rectangle were a square?

Tip: Always break complex shapes into simple geometric figures to simplify area calculations.