https://file.aiquickdraw.com/mathbot/file/1726179462966zcs8ke54.jpg

To solve this problem, we need to find the perimeter of the figure, which is composed of a parallelogram and a semicircle.

### Analyzing the Given Shape:

1. **Parallelogram Part**: 
   - The shape includes a parallelogram with one side labeled as 16 units and another side labeled as 6 units. 
   - For a parallelogram, opposite sides are equal in length. Thus, the two longer sides are each 16 units, and the two shorter sides are each 6 units.

2. **Semicircle Part**:
   - The semicircle is attached to one of the shorter sides of the parallelogram. The diameter of the semicircle is equal to the length of this shorter side, which is 6 units. 
   - The radius \(r\) of the semicircle can be calculated as half the diameter: 
     \[
     r = \frac{6}{2} = 3 \, \text{units}.
     \]

### Calculating the Perimeter:

The perimeter of the figure includes:
- One of the longer sides of the parallelogram (16 units),
- The curved edge of the semicircle,
- The other two sides of the parallelogram (6 units and 16 units).

The perimeter does **not** include the side of the parallelogram that coincides with the diameter of the semicircle (6 units).

#### Step-by-Step Calculation:

1. **Perimeter of the Parallelogram Part:**
   - Two sides of 16 units each: \(2 \times 16 = 32\) units.

2. **Perimeter of the Semicircle:**
   - The semicircle's curved edge length is half the circumference of a full circle:
   \[
   \text{Curved edge of the semicircle} = \frac{1}{2} \times 2 \pi r = \pi r = \pi \times 3 \approx 9.42 \, \text{units}.
   \]

3. **Total Perimeter:**
   \[
   \text{Total Perimeter} = 32 \, \text{(parallelogram sides)} + 9.42 \, \text{(semicircle edge)}.
   \]
   \[
   \text{Total Perimeter} \approx 41.42 \, \text{units}.
   \]

### Rounded to the Nearest Tenths Place:

\[
\text{Total Perimeter} \approx 41.4 \, \text{units}.
\]

### Final Answer:

The perimeter of the figure is **41.4 units**, rounded to the nearest tenths place.

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Would you like more details, or do you have any questions about this problem?

Here are some related questions for further exploration:

1. How do you calculate the perimeter of composite shapes involving more than two different figures?
2. What is the formula for the circumference of a full circle, and how is it applied to find a semicircle's perimeter?
3. Can you explain the properties of a parallelogram and how they help in perimeter calculations?
4. How would the perimeter change if the semicircle was a full circle?
5. How would you find the area of this composite shape?

**Tip:** Always break down a composite shape into simpler parts to calculate its perimeter or area more easily.

Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place.

Learn how to calculate the perimeter of a composite figure involving a parallelogram and a semicircle. This example includes key geometry concepts and formulas for finding the perimeter, suitable for Grades 7-10.

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