find the minimum and the maximum possible areas of a rectangle measuring 2 km by 5 km

To find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km, we can use a mathematical approach.

The area of a rectangle is calculated by multiplying the length (L) by the width (W). In this case, the length is 2 km and the width is 5 km.

Minimum possible area:
To find the minimum possible area, we assume that the rectangle has one side with the minimum length and the other side with the maximum length. So, we take 2 km as the minimum length and 5 km as the maximum length. Thus, the minimum possible area is 2 km multiplied by 5 km, which equals 10 square kilometers.

Maximum possible area:
To find the maximum possible area, we assume that the rectangle has both sides with the maximum length. So, we take 5 km as the length and 5 km as the width. Thus, the maximum possible area is 5 km multiplied by 5 km, which equals 25 square kilometers.

Therefore, the minimum possible area of the rectangle is 10 square kilometers, and the maximum possible area is 25 square kilometers.

To find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km, we need to consider the different scenarios.

1. Minimum Possible Area:
The minimum possible area can be found when the rectangle is a perfect square. In this case, both the length and width are equal. Since the length is 5 km, the width should also be 5 km. Therefore, the minimum possible area is calculated by multiplying the length and width: 5 km x 5 km = 25 square km.

2. Maximum Possible Area:
The maximum possible area occurs when the rectangle has an aspect ratio of 1:∞, which means that the length is significantly larger than the width. In this case, we can assume the width to be very close to zero. Let's assume the width is 0.001 km or 1 meter. Therefore, the maximum possible area is calculated by multiplying the length and width: 5 km x 0.001 km = 0.005 square km.

So, the minimum possible area is 25 square km, and the maximum possible area is 0.005 square km.