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Land Area Question
Posted by BMLSurveyor on January 8, 2023 at 7:39 pmI am working through my FS Study book from NCEES. I have come accross a question that has a goverment lot that has different chain lengths on each side. I am curious as to how I am suppose to find the area of the lot?
I know we went over this in school and I can not remember how to solve it. The lengths for each side in chains are, 19.83, 19.09, 19.31, and 20.14.
Any help would be appreciated!
jitterboogie replied 1 year, 6 months ago 9 Members · 11 Replies 
11 Replies

Does it have bearings or internal angles. What units does the area need to be in ? If it has bearings use dmd method . I am asking about units i see you are in chains. But sometimes pay close attention as you prepare and especially on exam. Given information in x units may not be the answer because they might ask for answer in different units. A quick way to get you looking in the direction of the correct answer when your shape is not a square or rectangle. Add two sides together divide by 2. Same for width. Use those lenth x width. Note this only points you in the correct direction to prevent or as a ck against a big blunder. Its not always correct. Or exact. But could be an answer so donÂƒ??t take it as the gospel.

The GLO used a shortcut formula for area that is a good approximation if it isn’t too far from rectangular. This may be what the question is asking rather than the actual area. They didn’t want staff spending lots of time on complicated computations.
If I remember right, you take the average of opposite sides and multiply the averages.
Someone correct me if I’m wrong.
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20×20=400/10=40 Acres. Reverse it to find the length, 39.75×10=397.5/20=19.875Chains.

383.7 square chains If it was a standard quarterquarter it would be 400 square chains

The GLO used a shortcut formula for area that is a good approximation if it isn’t too far from rectangular. This may be what the question is asking rather than the actual area. They didn’t want staff spending lots of time on complicated computations.
If I remember right, you take the average of opposite sides and multiply the averages.
Someone correct me if I’m wrong.
You are correct. Clark covers this in the first edition of his book (1920s).

Add opposing sides together divided by 2
Average side times average side divided 10 = acres.

Actually now I’m thinking, wasn’t it described as the equivalent operation using only one division (the slowest hand operation)?
Chains (E+W)(N+S)/40 = acres
. 
Bill’s formula is correct and very simple to arrive at acres.

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