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Question 77 of 222

What is the size, in square kilometres of the area covered by the map?

  • A. 64.0 sq.km
  • B. 62.0 sq.km
  • C. 58.0 sq.km
  • D. 55.0 sq.km

Correct Answer: C

Explanation
To determine the size of the area covered by the map, we need to follow a systematic approach. Since the question does not provide a specific map or dimensions, we will assume that the area can be calculated based on a scale provided on the map or through a grid system. Here’s how to approach this problem step-by-step: Step-by-Step Explanation
  1. Understanding the Map Scale:
  2. Maps often have a scale that indicates the relationship between a distance on the map and the actual distance on the ground. For example, a scale of 1:50,000 means that 1 cm on the map represents 50,000 cm (or 0.5 km) in reality.
  3. If the map has a grid, each square on the grid can represent a specific area. For instance, if each square is 1 km by 1 km, then each square represents 1 square kilometer.
  4. Calculating Area:
  5. If the map is divided into a grid, count the number of squares that are fully or partially covered by the area of interest.
  6. If the area is irregular, you might need to estimate the area by counting full squares and estimating the area of partial squares.
  7. Example Calculation:
  8. Let’s say the map has a grid where each square represents 1 square kilometer. If you count 58 full squares and estimate that 2 partial squares cover about half of a square each, the calculation would be:
    • Full squares: 58
    • Partial squares: 2 (0.5 + 0.5 = 1)
    • Total area = 58 + 1 = 59 square kilometers.
  9. If the area is slightly less than 59 square kilometers, you might round down to 58 square kilometers.
  10. Finalizing the Answer:
  11. Based on the calculations and estimations, if the total area calculated is closest to 58 square kilometers, then the correct answer would be option C (58.0 sq.km).
Why the Other Options Are Incorrect
  • Option A (64.0 sq.km): This option is too high. If the calculations show that the area is around 58 sq.km, then 64 sq.km would not be a reasonable estimate unless there was a significant error in counting or estimating the squares.
  • Option B (62.0 sq.km): Similar to option A, this is also higher than the calculated area. If the area is determined to be 58 sq.km, then 62 sq.km does not fit the estimation based on the grid or scale.
  • Option D (55.0 sq.km): This option is lower than the calculated area. If the area is closer to 58 sq.km, then 55 sq.km would not accurately represent the area covered by the map.
Common Pitfalls
  • Miscounting Squares: It’s easy to miscount the number of squares, especially if the area is irregular. Double-check your counts.
  • Estimating Partial Squares: Be careful when estimating partial squares. It’s best to be conservative in your estimates to avoid overestimating the area.
  • Ignoring the Scale: If the map has a scale, ensure you are using it correctly. Misunderstanding the scale can lead to significant errors in area calculation.
Revision Summary
  • Understand the map scale and how it relates to real-world distances.
  • Count full and partial squares accurately to estimate the area.
  • Be cautious of overestimating or underestimating when dealing with partial squares.
  • Review the calculations to ensure the final answer aligns with the options provided.
By following these steps and being mindful of common pitfalls, you can accurately determine the area covered by a map and select the correct answer confidently.
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