Worksheets with areas and perimeters of polygons and shapes, made ... - Free Printable

It looks like you've uploaded an image with a math problem titled "Length of the Unknown Side", which involves finding the length of the unknown side (labeled as "x") in various rectangles and composite shapes. The instruction says:
> *"What is the length of the unknown side (x) to make the perimeter of the following shapes? The shapes do not have to close."*

However, since I can't view images directly, I’ll need you to describe the image or provide details about the shapes and given measurements.

But based on your description and common types of such problems, here’s how we typically solve them:

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🔍 General Approach:

To find the unknown side (x) in a shape using perimeter, we use the formula:

> Perimeter = Sum of all side lengths

For each shape:
1. Add up all known side lengths.
2. Subtract that sum from the total perimeter given.
3. The result is the unknown side (x).

Let me walk through an example based on what's likely in the image:

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✔ Example Problem (Typical Format):

Suppose one shape is a rectangle with:
- Top side = 5 cm
- Right side = 3 cm
- Bottom side = 5 cm
- Left side = x

And the perimeter is given as 16 cm.

Then:
- Perimeter = 5 + 3 + 5 + x = 13 + x
- Set equal to 16:
$$
13 + x = 16 \Rightarrow x = 3
$$

So, x = 3 cm.

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🧩 For Composite Shapes (like L-shapes):

Break the shape into rectangles or use the idea that opposite sides are equal.

For example:
- An L-shaped figure with outer dimensions:
- Total width = 8 cm
- Total height = 6 cm
- One missing side labeled "x"

We can use the fact that the perimeter is the sum of all outer edges.

If some sides are internal (not part of the perimeter), ignore them.

But again — without seeing the actual image, I can’t give exact answers.

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📌 Please Provide:

1. A description of each shape (e.g., rectangle, L-shape, etc.)
2. All labeled side lengths
3. The given perimeter for each shape
4. Where “x” is located

Or, if you can copy-paste the text from the image (e.g., "Rectangle: 4 cm, 7 cm, x, 4 cm; Perimeter = 22 cm"), I can solve it step by step.

Once I have that, I’ll give you full solutions with explanations!