https://file.aiquickdraw.com/mathbot/file/1730247842331ei8ykyrc.jpg

To find the missing length in the figure, let's analyze the given measurements:

### Given Information:
- We have a composite shape that resembles an "L" where all the sides intersect at right angles.
- **Lengths provided**:
  - Left side: \( 13 \, \text{yd} \)
  - Top segment to the right of the missing length: \( 7 \, \text{yd} \)
  - Right vertical segment: \( 6 \, \text{yd} \)
  - Bottom horizontal segment: \( 16 \, \text{yd} \)
  - Middle horizontal segment: \( 11 \, \text{yd} \)

### Step-by-Step Solution:
1. **Find the total vertical length** of the left side (which is \( 13 \, \text{yd} \)). This vertical side is the sum of the missing length and the right side’s vertical segment.

   \[
   \text{Missing Length} + 7 \, \text{yd} = 13 \, \text{yd}
   \]

   Rearranging this equation:

   \[
   \text{Missing Length} = 13 \, \text{yd} - 7 \, \text{yd}
   \]

   \[
   \text{Missing Length} = 6 \, \text{yd}
   \]

### Answer:
The missing length is **6 yards**.

Would you like further details or have any other questions?

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Here are some related questions to further your understanding:
1. How would you find a missing side length if some segments had decimal values?
2. Can you find the perimeter of the entire figure using the given lengths?
3. What would change if one of the corners was not a right angle?
4. How could you verify that your solution is correct without additional measurements?
5. How does this problem relate to finding side lengths in rectangles and squares?

**Tip**: In composite figures, always try to find relationships between lengths and look for complementary segments that add up to the total length.

Find the missing side length in a composite shape where all intersecting sides meet at right angles. Given measurements: left side = 13 yards, top segment = 7 yards, right segment = 6 yards, bottom segment = 16 yards, and middle segment = 11 yards.

Learn how to find the missing side length in a composite figure where all intersecting sides meet at right angles. This problem involves adding and subtracting lengths to solve for the unknown side, using given measurements of 13 yards, 7 yards, 6 yards, 16 yards, and 11 yards. Suitable for students in Grades 6-8.

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