A property is legally described as 'the NW 1/4 of the SE 1/4 of Section 16, Township 3 North, Range 2 West.' How many acres does this property contain?
Correct Answer
D) 40 acres
Why this is correct: A standard section in the rectangular survey system contains 640 acres. The description is read from the end: First, identify the SE 1/4 of Section 16: 640 acres / 4 = 160 acres. Then, take the NW 1/4 of that 160-acre parcel: 160 acres / 4 = 40 acres. Why the other choices are wrong: 10 acres is 1/64 of a section. 160 acres is the SE 1/4 alone. 80 acres would be half of a 160-acre quarter. Exam tip: For rectangular survey math: Start with 640 acres for a full section and divide by 4 for each '1/4' in the description, working from right to left.
Why This Is the Correct Answer
Option A is correct because the calculation follows the proper sequence for fractional legal descriptions. Starting with a full section of 640 acres, the SE 1/4 equals 640 ÷ 4 = 160 acres. Then, the NW 1/4 of that 160-acre quarter section equals 160 ÷ 4 = 40 acres. This represents a quarter-quarter section, which is the standard smallest subdivision in the PLSS system.
Why the Other Options Are Wrong
The 640-4-4 Rule
Remember 'Six-Forty Starts, Four-Four Divides' - Start with 640 acres per section, then divide by 4 for each quarter mentioned in the legal description, working from right to left.
How to use: When you see a fractional legal description, write down 640, then divide by 4 for each 'quarter' you encounter as you read from right to left. For 'NW 1/4 of the SE 1/4': 640 ÷ 4 = 160 (for SE 1/4), then 160 ÷ 4 = 40 (for NW 1/4 of that).
Exam Tip
Always work fractional legal descriptions from right to left, and double-check your math by ensuring quarter-quarter sections equal 40 acres, quarter sections equal 160 acres, and full sections equal 640 acres.
Common Mistakes to Avoid
- -Reading legal descriptions from left to right instead of right to left
- -Forgetting that each section contains exactly 640 acres
- -Confusing halves (÷2) with quarters (÷4) in the calculation process
Concept Deep Dive
Analysis
This question tests understanding of the Public Land Survey System (PLSS), specifically how to calculate acreage from legal descriptions using fractional sections. The PLSS divides land into townships, sections, and fractional parts of sections, with each full section containing exactly 640 acres. When a legal description contains multiple fractions (like 'NW 1/4 of the SE 1/4'), you must work from right to left, calculating each fractional division sequentially. This is a fundamental skill for real estate appraisers who must accurately determine property sizes from legal descriptions.
Background Knowledge
The Public Land Survey System divides land into 6-mile square townships, each containing 36 one-mile square sections of 640 acres each. Sections can be subdivided into halves (320 acres), quarters (160 acres), quarter-quarters (40 acres), and even smaller parcels. Legal descriptions using this system must be read and calculated from right to left, applying each fractional division sequentially.
Real-World Application
Appraisers frequently encounter PLSS legal descriptions when valuing rural properties, agricultural land, and undeveloped parcels. Accurate acreage calculation is essential for determining property boundaries, calculating price per acre, and ensuring comparable sales analysis uses properties of similar size.
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