To find the minimum and maximum possible areas for rectangles with the measured dimensions of 12 km × 5 km, we first need to calculate the area of the rectangle based on the given measurements:
Area = length × width = 12 km × 5 km = 60 km².
Now, the maximum area would be achieved with the maximum potential measurements of the rectangle, while the minimum area would be calculated considering the least acceptable measurements.
However, the options you provided seem to suggest that there could be some variability in the measurements leading to different potential areas. The specific range of variability isn't given, but we can analyze the provided options in relation to the base area of 60 km²:
- The areas listed in the options (51.75 km² to 68.75 km²) suggest that the variations in measurements could lead to these areas.
Looking at the options, we need to see which of these match with our calculated area of 60 km².
To summarize, from the options:
- The lowest area (51.75 km²) is less than 60 km².
- The highest area (68.75 km²) is more than 60 km².
Therefore, checking all options in relation to the originally calculated area gives us:
- A: 51.75 km², 66 km²
- B: 51.75 km², 68.75 km²
- C: 57.5 km², 68.75 km²
Given that the actual area is 60 km², the best interpretation would be:
- The minimum possible area reached in options A or B, and the maximum area being highest in option B (68.75 km²).
Thus, the best choice based on the provided areas is:
B. 51.75 km², 68.75 km²