The HAWTHORN TRACT area recomputed on a DMD sheet - the form a plat's computation panel still shows - and set against the coordinate answer to prove the two methods are the same computation.
Apply· about 22 minutes by hand· 5 steps
Given
The same five-corner parcel as the coordinate problem: A (N 5000.00, E 5000.00), B (N 5312.44, E 5188.60), C (N 5205.10, E 5642.35), D (N 4830.66, E 5730.18), E (N 4712.20, E 5215.40).
The coordinate (shoelace) method gave 297,109.70 ft², or 6.821 acres.
The reference meridian for the DMD sheet is to be taken through the most westerly corner, A.
Required
The area by double meridian distance, worked as a full sheet.
A demonstration that the DMD result and the shoelace result are the same number, not merely close.
A second, independent accumulation (double parallel distance) as a cross-check.
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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This problem is 5 steps of computation, with the arithmetic shown at every stage and an independent check at the end. Several problems from every category are free to read in full so you can judge the format first.
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