To find the area of this shape, we can divide it into two parts:

1. A rectangle at the bottom.
2. A semicircle at the top.

Step-by-Step Solution:

1. Calculate the area of the rectangle:

   • Width $W = 15$ ft
   • Height $H = 14$ ft
   • Area of rectangle $= W \times H = 15 \times 14 = 210$ square feet

2. Calculate the area of the semicircle:

   • The diameter of the semicircle is the same as the width of the rectangle, which is 15 ft. Therefore, the radius $r$ is: $r = \frac{15}{2} = 7.5 \text{ ft}$
   • Area of a full circle $= \pi r^2 = \pi \times (7.5)^2 = 56.25\pi$
   • Since we only need half of the circle (a semicircle), the area of the semicircle is: $\frac{56.25\pi}{2} = 28.125\pi \approx 88.36 \text{ square feet}$

3. Total Area: $\text{Total Area} = \text{Area of rectangle} + \text{Area of semicircle} = 210 + 88.36 = 298.36 \text{ square feet}$

So, the area of the shape is approximately 298.36 square feet.

Would you like further details or have any questions?

Here are five related questions for further exploration:

1. How would the area change if the semicircle's diameter were increased by 5 feet?
2. What would be the area if the semicircle were replaced with a full circle?
3. How do you calculate the perimeter of this shape?
4. What if the rectangle height were reduced to 10 feet instead of 14 feet?
5. How would the area calculation change if the shape were rotated or mirrored?

Tip: Breaking complex shapes into simpler geometric figures often simplifies area calculations significantly.