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The question appears to be related to calculating the fence length needed around different sports courts based on their dimensions and additional safety areas. Here's a breakdown:

### Part B - Question 1a:
You are asked to calculate the fence length needed around each of the following sports courts:
1. **Netball** (30.5m by 15.25m, 3.05m additional safety area all around)
2. **Basketball** (28m by 15m, 2m additional safety area all around)
3. **Tennis** (23.77m by 10.97m, 2m on each side, and 3m on the base line)
4. **Volleyball** (18m by 9m, 2m additional safety area all around)

The formula for the total dimensions of the court (including safety area) is:
\[
\text{Total Length} = \text{Court Length} + 2 \times \text{Safety Length}
\]
\[
\text{Total Width} = \text{Court Width} + 2 \times \text{Safety Width}
\]
The total fence length is calculated using the perimeter formula:
\[
\text{Fence Length} = 2 \times (\text{Total Length} + \text{Total Width})
\]

### Part B - Question 2a:
You are asked to find which two courts can be built if only 160m of fence is available.

### Part B - Question 2b:
Calculate the smallest length of fence to ensure that any two courts could be built.

I will now solve these questions using the information provided.### Part B - Question 1a: Fence Length Needed for Each Court
The fence length needed for each court (including the safety areas) is:
- **Netball:** 115.9 meters
- **Basketball:** 102 meters
- **Tennis:** 89.48 meters
- **Volleyball:** 70 meters

### Part B - Question 2a:
To find out which two courts can be built with 160 meters of fencing, we will check combinations of these fence lengths. 

Let's now solve this.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can easily find which two courts can be built with the available 160 meters of fencing by manually adding the fence lengths of different combinations and ensuring the total is below 160 meters.

Would you like help with anything else or further details?

### Follow-up Questions:
1. How would you manually compute the total fence length for each pair of courts?
2. Why is it important to calculate safety areas when building sports courts?
3. What other factors might influence the amount of fencing required besides safety area and court dimensions?
4. Can the fence lengths of courts vary based on regional or international regulations?
5. What methods can be used to optimize space utilization when designing multiple sports courts?

**Tip:** When calculating the total fencing needed, always remember to consider the safety areas on both sides (length and width).

Calculate the length of fencing needed for each sports court and determine which courts can be built with a given length of fencing.

This page provides a detailed guide on how to calculate the perimeter fencing required for various sports courts including netball, basketball, tennis, and volleyball, incorporating additional safety areas. Suitable for high school level geometry courses.

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