Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.

To find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km, we need to consider the different scenarios that can occur.

Scenario 1: Minimum possible area
The minimum possible area occurs when the rectangle is a square. In this case, both sides of the rectangle will have the same length, which is the minimum value between the two given dimensions. So, the minimum length between 6 km and 11 km is 6 km. Therefore, the minimum possible area is 6 km * 6 km = 36 km^2.

Scenario 2: Maximum possible area
The maximum possible area of a rectangle occurs when the rectangle is a perfect rectangle, where the length and width are both at their maximum values. So, the maximum length between 6 km and 11 km is 11 km. Therefore, the maximum possible area is 11 km * 6 km = 66 km^2.

Thus, the minimum possible area of the rectangle is 36 km^2, while the maximum possible area is 66 km^2.