https://file.aiquickdraw.com/mathbot/file/1726156790614en5n7dil.jpg

To find the missing side length (labeled as "?") in the given L-shaped figure, we can use the information provided and the fact that all intersecting sides meet at right angles.

Let's break it down:

### Step 1: Identify Known Sides
From the image, we know:
- The vertical left side is 16 yards.
- The vertical sections on the right side are 12 yards and an unknown length (the missing side).
- The horizontal sections include 6 yards, 8 yards, and 4 yards.

### Step 2: Use the Vertical Side to Find the Missing Side
Since the overall vertical side on the right should equal the left vertical side of 16 yards:
- Right vertical side = 12 yards + missing length.
- Therefore, \( 16 = 12 + \text{missing length} \).

### Step 3: Solve for the Missing Length
\[
\text{Missing length} = 16 - 12 = 4 \text{ yards}
\]

So, the missing side length is **4 yards**.

Would you like a detailed step-by-step explanation, or do you have any further questions?

### Related Questions:
1. How do you find the perimeter of the L-shaped figure?
2. What is the area of the L-shaped figure?
3. How would you find a missing side if additional angles were given?
4. What are the properties of right angles in geometric figures?
5. How can you determine the dimensions if the figure is scaled up or down?

**Tip:** Always double-check dimensions by ensuring all sections add up correctly, especially when dealing with irregular shapes!

Find the missing side length of an L-shaped figure where all intersecting sides meet at right angles. Given side lengths are: 16 yards, 6 yards, 12 yards, 8 yards, and 4 yards. What is the missing side?

Solve a geometry problem involving an L-shaped figure by finding the missing side length. Given dimensions include vertical and horizontal sides, and the assumption that all intersecting sides meet at right angles. This problem is suitable for students in Grades 6-8 and focuses on geometric reasoning and properties of right angles.

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