Let's analyze each of the shapes and calculate their areas. I'll address them one by one:

Top Row:

1. Shape 1 (Left - Trapezoid/Composite Shape)

   • Given: 4 yd width, height is split into 3 yd and 2 yd.
   • It appears to be a trapezoid, or a combination of a rectangle and a triangle.
   • The area provided is 16 yd², which matches.

2. Shape 2 (Middle - Rectangle with Semi-Circle)

   • Given: 12 ft width, 9 ft height, and a semi-circle with a radius of 4 ft.
   • The area is calculated as:
     • Area of the rectangle: $12 \times 9 = 108$ ft²
     • Area of the semi-circle: $\frac{1}{2} \pi r^2 = \frac{1}{2} \pi (4)^2 = 8\pi \approx 25.1$ ft²
     • Total area: $108 + 25.1 \approx 133.1$ ft².
   • The area provided is 133.1 ft², which matches.

3. Shape 3 (Right - Triangle)

   • Given: Base = 16 ft, Height = 8 ft.
   • Area calculation: $\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 16 \times 8 = 64 \text{ ft}^2$
   • The area box is empty, so 64 ft² is the correct answer.

Bottom Row:

4. Shape 4 (Left - Trapezoid)

   • Given: Height = 14 m, bases are 14 m and 7 m.
   • Area calculation: $\text{Area} = \frac{1}{2} \times (14 + 7) \times 14 = \frac{1}{2} \times 21 \times 14 = 147 \text{ m}^2$

5. Shape 5 (Middle - Rectangle with Semi-Circle)

   • Given: Width = 11 cm, semi-circle with radius 4 cm.
   • Area calculation:
     • Area of the rectangle: $11 \times 4 = 44$ cm²
     • Area of the semi-circle: $\frac{1}{2} \pi (4)^2 = 8\pi \approx 25.1$ cm²
     • Total area: $44 + 25.1 \approx 69.1$ cm².

6. Shape 6 (Right - Composite Shape: Triangle + Semi-Circle)

   • Given: Triangle base = 9 in, height = 19 in, semi-circle radius = 9 in.
   • Area calculation:
     • Area of the triangle: $\frac{1}{2} \times 9 \times 19 = 85.5$ in²
     • Area of the semi-circle: $\frac{1}{2} \pi (9)^2 = 40.5\pi \approx 127.2$ in²
     • Total area: $85.5 + 127.2 \approx 212.7$ in².

Final Answers:

1. 16 yd²
2. 133.1 ft²
3. 64 ft²
4. 147 m²
5. 69.1 cm²
6. 212.7 in²

Would you like further explanations or details about any of these calculations?

Here are five related questions for further practice:

1. How would the area change for the triangle if its height was increased by 50%?
2. What is the area of a circle with a radius of 5 meters?
3. If the trapezoid's bases were swapped in the first shape, would it affect the area calculation?
4. How do you calculate the area of a quarter-circle?
5. What is the perimeter of the rectangle and semi-circle composite shape?

Tip: When dealing with composite shapes, calculate the area of each part separately and then add them up to find the total area.