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.

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.