To find the perimeter of the shape shown, we need to consider that it is composed of a rectangle with a semicircle on top. Let's break it down:

1. Rectangle:

   • Width = 15 ft
   • Height = 14 ft

2. Semicircle:

   • Diameter = 15 ft (same as the width of the rectangle)
   • Radius = 15 ft / 2 = 7.5 ft

Steps to Calculate Perimeter

1. Perimeter of the Rectangle's Three Sides (two vertical and one horizontal):

   • $15 + 14 + 14 = 43$ ft

2. Circumference of the Semicircle:

   • Circumference of a full circle = $2 \pi \times 7.5$
   • For the semicircle: $\pi \times 7.5 = 7.5\pi$

3. Total Perimeter:

   • Sum of the three sides of the rectangle and the semicircle: $43 + 7.5\pi$

4. Approximate Value:

   • Using $\pi \approx 3.14159$:
   • $43 + 7.5 \times 3.14159 \approx 66.36$ ft

Answer

The perimeter is approximately 66.36 feet.

Would you like a detailed explanation of any part, or do you have further questions?

Here are five questions for further exploration:

1. How would the perimeter change if the diameter of the semicircle were larger?
2. What is the area of this shape?
3. How can you calculate the perimeter if the shape were a full circle on top of the rectangle instead?
4. What if the rectangle's height was increased by 5 feet—how would that affect the perimeter?
5. How would the perimeter calculation differ if it were an ellipse instead of a semicircle?

Tip: Always separate complex shapes into familiar parts (e.g., rectangles, circles) for easier calculations.