https://file.aiquickdraw.com/mathbot/file/1726615847350o67vzk23.jpg

The figure you uploaded is a compound shape, and the task is to find the area. To do this, we can break the figure into simpler rectangles and find the area of each, then sum the areas.

### Step-by-Step Breakdown:

1. **Left Rectangle**:  
   - Width: 11 mi  
   - Height: 4 mi  
   - Area = \( 11 \times 4 = 44 \, \text{square miles} \)

2. **Top Rectangle**:  
   - Width: 9 mi  
   - Height: 3 mi  
   - Area = \( 9 \times 3 = 27 \, \text{square miles} \)

3. **Bottom Right Rectangle**:  
   - Width: 6 mi (from the height of 11 mi minus the top 3 mi and the small bottom rectangles of 2 mi and 3 mi)  
   - Height: 2 mi  
   - Area = \( 6 \times 2 = 12 \, \text{square miles} \)

4. **Small Bottom Rectangle**:  
   - Width: 3 mi  
   - Height: 2 mi  
   - Area = \( 3 \times 2 = 6 \, \text{square miles} \)

5. **Far Right Rectangle**:  
   - Width: 2 mi  
   - Height: 6 mi  
   - Area = \( 2 \times 6 = 12 \, \text{square miles} \)

### Total Area:
Adding up all the areas:
\[
44 + 27 + 12 + 6 + 12 = 101 \, \text{square miles}
\]

So, the total area of the figure is **101 square miles**.

Would you like more details or have any further questions?

Here are 5 related questions:
1. How would the area change if the top rectangle's width increased by 2 miles?
2. Can you break down this compound figure in a different way to verify the area?
3. How does breaking down a complex figure into simpler shapes make calculations easier?
4. What would the area be if the entire figure were shifted horizontally by 5 miles?
5. Can you use the same method to find the perimeter of this compound figure?

**Tip:** Always ensure the dimensions of smaller rectangles add up correctly to match the overall shape!

Calculate the area of a compound figure by breaking it into simpler rectangles. This problem uses geometry to find the total area by adding the areas of individual rectangles. Perfect for Grade 6 students learning compound shapes.

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