Areas of government lots on a north township boundary
The north tier of lots in a fractional section is computed from a retracement of the north boundary, with the deficiency of the mile falling in the last half-mile.
Apply· about 22 minutes by hand· 5 steps
Given
The north boundary of a fractional section lying in the north-west corner of its township, so that both the north and west section lines are township boundaries and the north tier of quarter-quarters is lotted.
The north-east section corner, the north quarter corner and the north-west section corner were all recovered as existent original monuments.
Retracement measurements along the north boundary: north-east section corner to the north quarter corner, 40.04 chains; north quarter corner to the north-west section corner, 39.68 chains.
The interior lines of the section are regular, so the north tier of lots is 20.00 chains deep on both its east and its west side.
Lots along the north boundary are numbered 1 to 4 from east to west, Lot 1 being the north-east quarter-quarter of the north-east quarter and Lot 4 the north-west quarter-quarter of the north-west quarter.
One chain is 66 ft; 10 square chains is one acre; 43,560 square feet is one acre.
Required
The width of each of the four lots.
The area of each lot in square chains and in acres.
A check on the total against the measured north tier.
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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