The area of a square with one Gunter's chain on a side is most nearly?

To determine the area of a square with one Gunter's chain on each side, it is important to first understand the length of a Gunter's chain. A Gunter's chain, commonly used in surveying, is 66 feet in length.

To find the area of a square, the formula used is:

Area = side length × side length.

In this case, if one side of the square is one Gunter's chain, then the length of each side is 66 feet. Therefore, the area can be calculated as follows:

Area = 66 ft × 66 ft = 4356 ft².

When rounded to the nearest whole number, this results in an area that is most nearly 4400 ft², given the options presented. This verifies that the total area of the square with one Gunter's chain on each side comes closest to 4400 ft².

Understanding this concept demonstrates how critical it is to have a solid grasp of units and basic geometric principles when performing calculations related to surveying.