Final answer:
In the Government/Rectangular Survey system, a township comprises 36 sections, each one square mile in size, hence a quadrangle/check made up of one township has 36 square miles. The correct answer to the question, "In the Government/Rectangular Survey, the 'Quadrangles/Checks' have how many square miles?" is B. 36.
Step-by-step explanation:
In the Government/Rectangular Survey system, the "Quadrangles/Checks" refer to areas of land that are part of a grid system used for land division. The basic unit in this grid system is a township, which is a square parcel of land six miles wide.
Each township is further subdivided into 36 smaller units, each being a one-square-mile parcel called a section. As each section is a square mile, they are each 640 acres in size. These sections can be subdivided even more into quarter sections and quarter-quarter sections, the former being 160 acres and the latter 40 acres each.
Considering the dimensions of each township and the number of sections within it, a quadrangle, or check, which typically consists of a block of townships, would have a large number of square miles. However, for the question at hand, the answer would be based on a single township, within a check. Since there are 36 one-square-mile sections in a township, the correct answer to the question, "In the Government/Rectangular Survey, the 'Quadrangles/Checks' have how many square miles?" is B. 36.