https://file.aiquickdraw.com/mathbot/file/1727088995243wzeo2ctr.jpg

The shape in the image is a composite figure, made up of several rectangles. To find the total area, we can divide the figure into smaller, easily calculable rectangular sections and sum their areas.

### Step-by-step process:

1. **Identify the sections**:
   The shape can be broken down into three main rectangles based on the measurements.

   - **Rectangle 1 (Upper L shape)**:
     - Length = 9 miles
     - Width = 4 miles
     - Area = $ 9 \times 4 = 36 \, \text{square miles} $

   - **Rectangle 2 (Middle vertical section)**:
     - Length = 13 miles
     - Width = 4 miles
     - Area = $ 13 \times 4 = 52 \, \text{square miles} $

   - **Rectangle 3 (Lower horizontal section)**:
     - Length = 16 miles
     - Width = 5 miles
     - Area = $ 16 \times 5 = 80 \, \text{square miles} $

2. **Sum the areas of the rectangles**:
   \[
   \text{Total Area} = 36 + 52 + 80 = 168 \, \text{square miles}
   \]

Thus, the total area of the figure is **168 square miles**.

Would you like further details or have any questions?

Here are some related questions you can try:

1. How would the area change if the length of the middle vertical section increased by 2 miles?
2. What is the perimeter of this composite figure?
3. If this shape represented a plot of land, how would you calculate its fencing cost at $10 per mile?
4. How can you calculate the area if the shape is curved instead of rectangular?
5. What are some applications of composite figures in real-world scenarios?

**Tip**: When breaking down complex shapes, always look for basic geometric figures (like rectangles, triangles) that are easier to calculate.

Learn how to calculate the area of a composite figure composed of multiple rectangles. This problem uses basic geometry concepts and the area formula for rectangles to find a total area of 168 square miles. Suitable for students in Grades 6-8.

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