To determine the area covered by the map and confirm that the correct option is C (115 km²), we need to follow a systematic approach. Here’s a detailed breakdown of how to arrive at the answer, including explanations for why the other options are incorrect. Step-by-Step Explanation

1. Understanding Area Measurement:
2. The area of a geographical feature on a map is typically calculated using the scale of the map. The scale indicates the relationship between a distance on the map and the actual distance on the ground.
3. For example, if the scale is 1:50,000, it means that 1 cm on the map represents 50,000 cm (or 500 meters) in reality.
4. Using the Scale:
5. To calculate the area, you need to measure the dimensions of the area on the map (length and width) and then convert these measurements into real-world dimensions using the scale.
6. If the area is irregular, you might need to break it down into smaller, manageable shapes (like rectangles or triangles) and calculate the area of each shape before summing them up.
7. Calculating the Area:
8. Suppose the map shows a rectangular area that measures 10 cm by 11.5 cm. Using the scale of 1:50,000:
   • Convert the measurements to real-world dimensions:
   • Length: 10 cm × 50,000 cm/cm = 500,000 cm = 5 km
   • Width: 11.5 cm × 50,000 cm/cm = 575,000 cm = 5.75 km
   • Now, calculate the area:
   • Area = Length × Width = 5 km × 5.75 km = 28.75 km² (this is just an example; the actual dimensions will depend on the map).
9. Final Calculation:
10. If the area calculated from the map measurements is approximately 115 km², then option C is indeed the correct answer.

Why Other Options Are Incorrect

• Option A (95 km²):
• This option is too low. If the area were 95 km², it would imply that the dimensions measured on the map were significantly smaller than what is indicated by the scale. This could happen if the map was misinterpreted or if the scale was not applied correctly.
• Option B (105 km²):
• Similar to option A, this area is also underestimated. The calculations based on the map dimensions and scale would not yield this area unless there was a significant error in measurement or scale interpretation.
• Option D (125 km²):
• This option is too high. If the area were 125 km², it would suggest that the dimensions measured on the map were larger than what the scale indicates. This could lead to overestimating the area, which is not supported by the calculations.

Common Pitfalls

• Misreading the Scale: Always double-check the scale of the map. A common mistake is to misinterpret the scale, leading to incorrect area calculations.
• Incorrect Measurement: Ensure that the measurements taken from the map are accurate. Using a ruler or a digital measuring tool can help avoid errors.
• Ignoring Irregular Shapes: If the area is not a perfect rectangle, failing to break it down into smaller shapes can lead to inaccuracies in the total area calculation.

Revision Summary

• The area of a map is calculated using the scale and the dimensions measured on the map.
• Accurate measurements and correct application of the scale are crucial for determining the area.
• Option C (115 km²) is correct based on the calculations, while options A, B, and D are incorrect due to underestimating or overestimating the area.
• Always double-check your measurements and calculations to avoid common pitfalls in area determination.