https://file.aiquickdraw.com/mathbot/file/1730248747926gubm3551.jpg

To find the missing side length in this L-shaped figure, we can use the fact that all intersecting sides meet at right angles. Here’s a step-by-step approach to solve for the missing side.

### Step-by-Step Solution:

1. **Identify Overall Lengths:**
   - The top horizontal length (13 ft) includes both the unknown segment (`?`) and the bottom segment (5 ft).
   - The left vertical length (10 ft) includes the vertical segment marked as 4 ft and the bottom segment of 6 ft.

2. **Set Up Equations:**
   - From the top horizontal lengths:
     \[
     ? + 5 = 13
     \]

3. **Solve for the Missing Side (`?`):**
   \[
   ? = 13 - 5 = 8 \text{ ft}
   \]

So, the missing side length is **8 feet**.

Would you like further details or explanations on this solution?

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### Related Questions:
1. How can we find missing side lengths in other irregular shapes?
2. What are some real-world applications of calculating unknown lengths in shapes?
3. How do we calculate perimeter if the figure were to include the missing length?
4. Can you find missing lengths if a figure has no right angles?
5. How would this approach change if it was a 3D shape?

### Tip:
When dealing with composite shapes, try breaking them down into simpler components to set up straightforward equations for missing dimensions.

Find the missing side length in a right-angled L-shaped figure. Given side lengths: 13 ft, 4 ft, 10 ft, 6 ft, and 5 ft.

Learn how to find the missing side length in an L-shaped figure with right angles. This problem involves measurements with lengths of 13 ft, 4 ft, 10 ft, 6 ft, and 5 ft, ideal for students in Grades 5-6.

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