https://file.aiquickdraw.com/mathbot/file/172693880892292zdyxi3.jpg

From the image, we see a rectangle with some given side lengths, and the goal is to find the missing side labeled with a question mark (?). Here’s how we can approach it:

1. The figure represents a rectangle divided into two smaller rectangles. The left rectangle has a vertical side of \(13 \, \text{yd}\) and the right one has vertical sides of \(5 \, \text{yd}\) and horizontal sides of \(7 \, \text{yd}\).
2. The total height of the left rectangle is \(13 \, \text{yd}\), which equals the sum of the heights of the two smaller vertical segments on the right.

So, we can set up the equation:
\[
13 \, \text{yd} = 5 \, \text{yd} + ? 
\]

Thus, the missing vertical side is:
\[
? = 13 \, \text{yd} - 5 \, \text{yd} = 8 \, \text{yd}
\]

The missing side length is **8 yards**.

Do you want further details or have any other questions? 

Here are 5 related questions for further exploration:
1. How would you find the missing horizontal side length if it were unknown?
2. Can you calculate the area of the entire rectangle?
3. How would the problem change if the sides met at angles other than 90 degrees?
4. What is the perimeter of the entire figure?
5. How can we use the Pythagorean theorem to solve more complex geometry problems?

**Tip**: Always break down composite shapes into simpler ones to make calculations easier!

Find the missing side length in the figure where all intersecting sides meet at right angles. Given side lengths: 11 yd, 5 yd, 13 yd, 7 yd, and 4 yd.

Learn how to find the missing side in a rectangle with given side lengths of 11 yd, 5 yd, 13 yd, 7 yd, and 4 yd. This problem involves breaking the figure into smaller parts and applying basic geometric properties. Suitable for students in Grades 6-8.

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