https://file.aiquickdraw.com/mathbot/file/1726183322446ru7l25io.jpg

The shape in the image is a composite rectangle with a small "cut-out" at the bottom. To find the missing dimension marked with a "?", we need to use the dimensions given.

### Step-by-Step Process:

1. **Total width of the large rectangle:**
   - The top of the shape measures 12 feet.

2. **Breakdown of the bottom width:**
   - On the left side, the smaller rectangle (cut-out) has a width of 4 feet.
   - In the middle, the width of the cut-out is 2 feet.
   - On the right side, the remaining part has the unknown width, marked as "?".
   
   The equation for the total width at the bottom becomes:
   \[
   4 \, \text{ft} + 2 \, \text{ft} + ? = 12 \, \text{ft}
   \]
   
3. **Solving for "?":**
   \[
   ? = 12 \, \text{ft} - 4 \, \text{ft} - 2 \, \text{ft}
   \]
   \[
   ? = 6 \, \text{ft}
   \]

Thus, the missing width is 6 feet.

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Would you like a detailed breakdown of any other part of this problem or additional information on composite shapes?

### Related Questions:
1. How do you calculate the area of this composite shape?
2. How would you find the perimeter of this shape?
3. What is the importance of understanding composite shapes in geometry?
4. How can you apply this knowledge to real-life problems like construction planning?
5. Can this method be used for three-dimensional figures?

#### Tip:
When dealing with composite shapes, it's helpful to break them into familiar geometric figures (like rectangles or triangles) and solve piece by piece.

What is the missing dimension of the bottom side of a composite rectangular shape, where the top measures 12 feet, and other parts of the bottom include a 4 ft segment, a 2 ft segment, and an unknown segment?

Learn how to solve for the missing dimension of a composite rectangular shape. This problem includes key geometric concepts and algebraic reasoning, such as breaking the figure into parts and solving equations. Suitable for students in Grades 6-8.

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