Area of a PLSS aliquot part reconciled against a measured traverse
The nominal forty of a quarter-quarter set against the area its aliquot corners actually enclose. Build the aliquot corners by proportion from measured section corners, then compute what the description really conveys.
Analyze· about 30 minutes by hand· 5 steps
Given
A retracement traverse recovered four controlling corners of Section 14 and coordinated them on a local grid in US survey feet, northing first:
South-west section corner N 1000.00 E 1000.00
South quarter corner N 1002.40 E 3641.30
Center of section N 3640.50 E 3648.20
West quarter corner N 3638.90 E 1004.60
The center of section was set at the intersection of the two center lines and is held as recovered.
The subject description is 'the NE¼ of the SW¼ of Section 14', nominally 40 acres.
Aliquot corners are to be established by the standard rule: the center of a quarter section lies at the intersection of straight lines joining the midpoints of its opposite sides, and the quarter-quarter corners lie at the midpoints of the quarter section's sides.
Required
Coordinates of the four corners of the NE¼ of the SW¼.
The area that description actually encloses, in acres.
How that area compares with the nominal 40 acres, and with one quarter of the measured SW¼.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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