To find the perimeter of the actual garden, we first need to convert the dimensions of the scale diagram to the actual dimensions using the given scale of 1 inch to 0.5 meter.

Step 1: Convert scale dimensions to actual dimensions

• Length of the scale diagram: 24 inches
• Width of the scale diagram: 16 inches
• Scale: 1 inch to 0.5 meter

Actual dimensions:

• Actual length: $24 \, \text{inches} \times 0.5 \, \text{meters/inch} = 12 \, \text{meters}$
• Actual width: $16 \, \text{inches} \times 0.5 \, \text{meters/inch} = 8 \, \text{meters}$

Step 2: Calculate the perimeter of the actual garden

The formula for the perimeter of a rectangle is: $\text{Perimeter} = 2 \times (\text{Length} + \text{Width})$

Substituting the actual dimensions: $\text{Perimeter} = 2 \times (12 \, \text{meters} + 8 \, \text{meters}) = 2 \times 20 \, \text{meters} = 40 \, \text{meters}$

Therefore, the perimeter of the actual garden is: $\boxed{40 \, \text{meters}}$

Do you want details or have any questions?

Here are 5 questions you can ask next:

1. How do you convert between different units of measurement in scale diagrams?
2. What is the area of the actual garden based on the given dimensions?
3. How can scale drawings be useful in architectural planning?
4. What are the steps to create a scale drawing from actual dimensions?
5. How do you ensure accuracy when interpreting scale diagrams?

Tip: Always double-check the scale factor and ensure that units are consistent throughout the calculations to avoid errors.