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The problem involves finding the missing side length in an irregular shape composed of rectangles.

### Let's break it down:

1. **Horizontal Lengths:**
   - The bottom horizontal length is \( 12 \) yards.
   - The middle horizontal length is \( 8 \) yards.
   - The left horizontal length is \( 5 \) yards.

2. **Vertical Lengths:**
   - The right vertical length is \( 16 \) yards.
   - The top vertical length is \( 4 \) yards.
   - The left vertical length is the unknown side \( x \) yards.

### Approach:
1. To find the missing side \( x \), observe the total horizontal and vertical lengths of the shape.

2. **Total horizontal length** on the top side = \( x \) + \( 4 \) yards.

3. **Total vertical length** on the left side = \( 16 \) yards.

Since both sides are equal, we can set up the equation:

\[
x + 4 = 16
\]

### Solution:
Subtract \( 4 \) from both sides to find \( x \):

\[
x = 16 - 4 = 12 \text{ yards}
\]

Thus, the missing side length \( x \) is **12 yards**.

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Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How would the solution change if one of the given lengths were different?
2. Can this shape be divided into simpler shapes to verify the solution?
3. What are some common mistakes to avoid when solving similar problems?
4. How would you calculate the perimeter of this shape?
5. How would you find the area of this irregular shape?

**Tip:** When dealing with composite shapes, break them down into smaller rectangles or squares to simplify the problem.

Find the missing side length in the L-shaped figure assuming that all intersecting sides meet at right angles. The known dimensions are 4 yards, 5 yards, 8 yards, 12 yards, and 16 yards.

Learn how to find the missing side length of an L-shaped figure with right angles. Using geometric concepts, the known dimensions, and basic equations, this problem illustrates how to calculate the unknown side length. Suitable for students in Grades 6-8.

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