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How do I read a legal description like NW¼ SE¼ S12 T4N R2W?

Read it backwards, from big to small. T4N R2W locates a 36-square-mile township on a grid measured from a principal meridian; S12 is one 640-acre section inside it; SE¼ is the section's 160-acre southeast quarter; NW¼ of that quarter is a 40-acre piece. Each quarter divides the acreage by four.

The Public Land Survey System (PLSS) covers roughly 30 states — everything the federal government originally surveyed, which excludes the original 13 colonies, Texas, and a few others. The grid starts at a principal meridian (north–south) and baseline (east–west). "Township 4 North, Range 2 West" means the fourth township row north of the baseline, second column west of the meridian.

Inside each township, 36 sections are numbered in a boustrophedon pattern — starting at 1 in the northeast corner, snaking west then east row by row, ending at 36 in the southeast corner. Each section is nominally one mile square: 640 acres.

The fraction math is the useful skill. A section is 640 acres, a quarter section 160, a quarter-quarter 40, a quarter-quarter-quarter 10. So "NW¼ SE¼" is 40 acres, and "N½ NW¼ SE¼" is 20. Read aliquot parts right to left: find the SE quarter first, then its NW quarter. Sections along township edges are often "fractional" with government lots replacing standard aliquots, so acreage there comes from the official plat, not the arithmetic.

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