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To solve this problem, we need to find the missing side length in the L-shaped figure where all sides meet at right angles. Here's how we can approach it:

### Step-by-Step Solution:

1. **Break the L-shape into two rectangles:**
   The L-shape can be thought of as two overlapping rectangles:
   - **Horizontal rectangle**: One with a height of 6 yards and width of 9 yards.
   - **Vertical rectangle**: One with a height of 14 yards and width of 4 yards.

2. **Use the total vertical height**:
   The total vertical height of the L-shape is given as 14 yards. This height consists of two parts:
   - One segment of 5 yards.
   - The missing vertical side, labeled as "?", which is what we are solving for.

   Therefore, the total height equation becomes:
   \[
   ? + 5 = 14
   \]

3. **Solve for the missing side**:
   Rearranging the equation:
   \[
   ? = 14 - 5 = 9 \text{ yards}
   \]

Thus, the missing side length is **9 yards**.

### Final Answer:  
The missing side length is **9 yards**.

Would you like more details on any part of this process?  
Here are 5 questions to deepen understanding:

1. How can we divide other irregular shapes into simpler ones for similar problems?
2. How do right angles help simplify length calculations in shapes like this?
3. What are some other strategies for solving L-shaped area or perimeter problems?
4. Can this method be extended to three-dimensional shapes?
5. How do properties of rectangles simplify geometric problem-solving?

**Tip:** Breaking down complex shapes into simpler parts can make problems more manageable. Always look for ways to decompose shapes into well-known geometric figures.

Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer.

Learn how to find the missing side length in an L-shaped figure where all sides meet at right angles. This solution covers key geometric concepts like breaking down complex shapes and solving using simple linear equations. Suitable for students in Grades 6-8.

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