To calculate the area of this "L-shaped" figure, we can break it into two rectangles and find the area of each rectangle separately.

Step-by-Step Calculation:

1. Identify the two rectangles:

• Top Rectangle:

  • Width = $3 \, \text{km}$
  • Height = $9 \, \text{km}$
  • Area = $3 \times 9 = 27 \, \text{km}^2$

• Bottom Rectangle:

  • Width = $6 \, \text{km}$
  • Height = $4 \, \text{km}$
  • Area = $6 \times 4 = 24 \, \text{km}^2$

2. Add the areas of both rectangles:

$\text{Total Area} = 27 \, \text{km}^2 + 24 \, \text{km}^2 = 51 \, \text{km}^2$

Final Answer:

The area of the figure is 51 square kilometers.

Would you like a detailed explanation or visualization of this process?

5 Related Questions:

1. How do we calculate the perimeter of this figure?
2. What are the advantages of breaking complex shapes into simpler ones for calculations?
3. How do you calculate areas of irregular polygons that cannot be split into rectangles?
4. What real-world problems might use area calculations like this one?
5. Can you explain the difference between perimeter and area with examples?

Tip:

When solving geometry problems, always label key dimensions on the diagram and ensure units are consistent throughout.