To find the minimum and maximum possible areas of a rectangle with dimensions 2 km by 5 km, we calculate the area using the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{length} \times \text{width} \]
For this specific rectangle:
\[ \text{Area} = 2 , \text{km} \times 5 , \text{km} = 10 , \text{km}^2 \]
Since the rectangle's dimensions are fixed at 2 km and 5 km, the area remains constant. Therefore, the minimum and maximum possible areas are both:
\[ \text{Minimum area} = 10 , \text{km}^2 \] \[ \text{Maximum area} = 10 , \text{km}^2 \]
In conclusion, both the minimum and maximum possible areas of the rectangle are 10 km².