Thank you for re-uploading the image. I see that this is a composite shape with a rectangular section and a half-circle. Let's calculate the perimeter with clear steps:

Step-by-Step Solution:

1. Identify the Straight Edges:

   • Left side of the rectangle: 5 ft
   • Top of the rectangle: 7 ft
   • Bottom of the rectangle: 4 ft

2. Half-Circle Details:

   • The half-circle has a diameter of 5 ft, meaning the radius $r$ is $\frac{5}{2} = 2.5$ ft.

3. Calculate the Perimeter of the Half-Circle:

   • The circumference of a full circle is $C = 2\pi r$.
   • Since we have a half-circle, we use half of the circumference: $\text{Half-circle circumference} = \pi r = 3.14 \times 2.5 = 7.85 \, \text{ft}$

4. Sum of All Edges for the Perimeter:

   • Add the straight edges and the half-circle perimeter: $\text{Perimeter} = 5 + 7 + 4 + 7.85 = 23.85 \, \text{ft}$

Final Answer:

The perimeter of the figure is approximately 23.9 ft (rounded to one decimal place).

Would you like additional clarification or have any further questions?

Related Questions

1. What if the diameter of the half-circle were doubled? How would that affect the perimeter?
2. How would you find the area of this composite shape?
3. What would the perimeter be if it had a quarter-circle instead of a half-circle?
4. If $\pi$ were approximated as 3.14159, what would the perimeter be?
5. How would scaling the entire shape by a factor of 3 affect the perimeter?

Tip: When working with composite shapes, separate each component’s calculations for clarity and accuracy.