Converting a computed area between square feet, acres and hectares
One parcel area expressed in every unit a plat may call for, and the 4 ppm consequence of the two American feet made explicit - because 2 ppm in a length is 4 ppm in an area.
Recall· about 14 minutes by hand· 4 steps
Given
A parcel area was computed by coordinates as 297,109.70 ft². The coordinates came from a State Plane zone published in US survey feet, so the figure is 297,109.70 square US survey feet.
Exact definitions available: 1 US survey foot = 1200/3937 m; 1 international foot = 0.3048 m; 1 acre = 43,560 ft² = 10 square chains; 1 chain = 66 ft; 1 hectare = 10,000 m².
The plat must show the area in acres, and a companion metric exhibit must show it in hectares.
Required
The area in acres and in square chains.
The area in square meters and hectares, correctly reduced.
The numerical consequence of applying the wrong foot, stated in the units of the answer.
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 4 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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