Final answer:
The N1/2 of the W1/2 of the SE1/4 of a section of land contains 40 acres. This is calculated by successively halving a standard section of 640 acres to obtain the specified division of the section.
Step-by-step explanation:
The student's question pertains to the calculation of land area in acres when given a complex fractional division of a section. A standard section of land under the Public Land Survey System is one square mile, or 640 acres. This section can be divided into quarter sections of 160 acres each, and those can be subdivided further into quarter-quarter sections of 40 acres each. In the given problem, we are dealing with the North half (N1/2) of the West half (W1/2) of the Southeast quarter (SE1⁄4) of a section.
To find how many acres are in the N1/2 of the W1/2 of the SE1⁄4, we calculate:
- SE1⁄4 of a section: 640 acres ÷ 4 = 160 acres.
- W1/2 of the SE1⁄4: 160 acres ÷ 2 = 80 acres.
- N1/2 of the W1/2 of the SE1⁄4: 80 acres ÷ 2 = 40 acres.
Therefore, the N1/2 of the W1/2 of the SE1⁄4 of a section contains 40 acres of land.