GG.11 Area of compound figures
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What is the area of this figure?
4 km
8 km
4 km
17 km
8 km
9 km
 square kilometers

To solve the problem of finding the area of the compound figure, we first need to break it into simpler shapes like rectangles or squares, depending on how it's structured. 

You’ve provided the following dimensions:

- Two sides of 4 km
- Two sides of 8 km
- One side of 17 km
- One side of 9 km

### Steps to Solve:

1. **Visualize the Shape**: Since I don't have the figure, I'll assume it's a combination of rectangles or squares. From the dimensions, it seems to be composed of two rectangles or an L-shaped figure.

2. **Divide the Compound Shape**: We can divide the figure into two rectangles.
   
   - **Rectangle 1**: With dimensions 4 km by 8 km
   - **Rectangle 2**: With dimensions 9 km by 8 km
   
3. **Find the Area of Each Rectangle**:
   
   - **Area of Rectangle 1**: 
     \[
     \text{Area}_1 = 4 \, \text{km} \times 8 \, \text{km} = 32 \, \text{km}^2
     \]
   
   - **Area of Rectangle 2**: 
     \[
     \text{Area}_2 = 9 \, \text{km} \times 8 \, \text{km} = 72 \, \text{km}^2
     \]

4. **Total Area of the Compound Figure**: 
   \[
   \text{Total Area} = \text{Area}_1 + \text{Area}_2 = 32 \, \text{km}^2 + 72 \, \text{km}^2 = 104 \, \text{km}^2
   \]

### Final Answer:
The total area of the figure is **104 square kilometers**.

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Would you like more details on this solution?  
Here are 5 related questions:

1. How do you find the perimeter of this compound figure?
2. What is the area of each individual rectangle?
3. How do you calculate the area of compound figures with curves?
4. How can you check if a compound figure has been correctly divided?
5. How do the areas of rectangles change when one side length doubles?

**Tip:** When working with compound figures, always break them down into smaller, simpler shapes (like rectangles or triangles) to calculate the area easily.

What is the area of this figure? 4 km, 8 km, 4 km, 17 km, 8 km, 9 km square kilometers

Learn how to calculate the area of a compound figure composed of two rectangles with dimensions 4 km × 8 km and 9 km × 8 km. Step-by-step solution provided for students in Grades 6-8, focusing on geometry and the additive property of areas.

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