Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram. If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters, what is the actual area of the court?
 A. 
1,307.84 square meters
 B. 
326.96 square meters
 C. 
81.74 square meters
 D. 
78 square meters

To find the actual area of the badminton court, we first need to convert the scale dimensions to actual dimensions using the given scale. The scale is 1 centimeter to 0.5 meters.

First, we convert the scale length:
\[
\text{Actual length} = \text{Scale length} \times \text{Scale factor} = 26.8 \, \text{cm} \times 0.5 \, \text{m/cm} = 13.4 \, \text{meters}
\]

Next, we convert the scale width:
\[
\text{Actual width} = \text{Scale width} \times \text{Scale factor} = 12.2 \, \text{cm} \times 0.5 \, \text{m/cm} = 6.1 \, \text{meters}
\]

Now, we calculate the actual area of the court:
\[
\text{Actual area} = \text{Actual length} \times \text{Actual width} = 13.4 \, \text{m} \times 6.1 \, \text{m} = 81.74 \, \text{square meters}
\]

Therefore, the correct answer is:
\[
\boxed{81.74 \, \text{square meters}}
\]

Do you want details or have any questions?

Here are 5 questions you can ask next:
1. How do you convert measurements between different units in scale diagrams?
2. What is the perimeter of the badminton court based on the actual dimensions?
3. How do you find the area of irregular shapes?
4. Can you explain the concept of scaling in geometry with more examples?
5. What are some common uses of scale diagrams in real life?

**Tip:** When working with scale diagrams, always double-check your unit conversions to ensure accuracy in the final measurements.

Learn how to calculate the actual area of a badminton court from a scale diagram using unit conversion and scale factor. This problem involves converting scale dimensions to actual dimensions and finding the area of a rectangle. Suitable for students in Grades 6-8.

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