https://file.aiquickdraw.com/mathbot/file/1729175930275nswdlf16.jpg

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.

Calculate the areas for the given composite shapes.

Learn how to calculate the area of composite shapes involving rectangles, triangles, semi-circles, and trapezoids. This example demonstrates step-by-step solutions for shapes with given dimensions in square yards, square feet, square meters, square centimeters, and square inches. Suitable for students in Grades 8-10.

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