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To solve the problem of determining how many bags of seed are needed to cover the given area, let's break it down step by step.

### 1. **Understanding the Shapes:**
   - The area consists of a rectangle and a semicircle.
   - The rectangle's dimensions are $ 240 $ feet by $ 320 $ feet.
   - The semicircle has a diameter of $ 120 $ feet.

### 2. **Calculating the Area:**
   - **Rectangle's Area:**
     \[
     \text{Area}_{\text{rectangle}} = \text{length} \times \text{width} = 320 \times 240 = 76,800 \text{ square feet}
     \]
   - **Semicircle's Area:**
     \[
     \text{Radius} = \frac{\text{diameter}}{2} = \frac{120}{2} = 60 \text{ feet}
     \]
     \[
     \text{Area}_{\text{semicircle}} = \frac{1}{2} \times \pi \times \text{radius}^2 = \frac{1}{2} \times \pi \times 60^2 = \frac{1}{2} \times \pi \times 3600 = 1800\pi \text{ square feet}
     \]
     Approximate $ \pi \approx 3.1416 $:
     \[
     \text{Area}_{\text{semicircle}} \approx 1800 \times 3.1416 \approx 5654.86 \text{ square feet}
     \]
   - **Total Area:**
     \[
     \text{Total Area} = \text{Area}_{\text{rectangle}} + \text{Area}_{\text{semicircle}} = 76,800 + 5,654.86 \approx 82,454.86 \text{ square feet}
     \]

### 3. **Calculating the Number of Bags Needed:**
   - Given that each 5-pound bag of seed covers $ 2000 $ square feet, the number of bags required is:
     \[
     \text{Number of Bags} = \frac{\text{Total Area}}{\text{Area covered by one bag}} = \frac{82,454.86}{2000} \approx 41.23
     \]
   - Since you can't purchase a fraction of a bag, you'll need to round up to the nearest whole number:
     \[
     \text{Number of Bags} \approx 42
     \]

### 4. **Answer:**
   - The number of bags needed is $ \boxed{42} $, which corresponds to option **C**.

Would you like further details or have any questions? 

Here are some related questions to explore:
1. What would the area be if the park had a full circle instead of a semicircle?
2. How would the number of bags change if each bag covered 2500 square feet?
3. What if the length of the rectangle was 400 feet instead of 320 feet?
4. How would you calculate the cost if each bag costs $15?
5. What if the diameter of the semicircle was increased by 20 feet?

**Tip:** Always make sure to account for rounding when dealing with real-world measurements.

The recreation department of a small town wants to over-seed an area of the local park, shown in the diagram. If it takes one 5-pound bag of seed to cover 2000 square feet, how many bags of seed will they need?

Learn how to calculate the number of 5-pound seed bags required to cover a park area, using geometry to find the area of a rectangle and a semicircle. This detailed step-by-step solution is suitable for high school students in Grades 9-12.

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