Under the rectangular (government) survey system, how many acres are in the NE¼ of the SW¼ of a standard section?
Show answer & explanation
Answer: D
- A standard section = 640 acres.
- SW¼ of the section = 640 ÷ 4 = 160 acres.
- NE¼ of that SW¼ = 160 ÷ 4 = 40 acres.
160 acres: That is only the SW¼; the description takes a quarter of that quarter.
80 acres: That would be a half of a quarter section, not a quarter of a quarter.
10 acres: That divides by 4 one time too many.
40 acres: Correct. A section is 640 acres; ¼ of 640 = 160 acres, and ¼ of 160 = 40 acres.
Start with 640 acres per section and divide by each fraction in the description (multiply the denominators: 640 ÷ (4 × 4) = 40).