How many acres remain after a rectangular piece is removed from a fractional section?

Question

Assume a standard section. An owner has the west half of the northeast quarter of the southeast quarter and sells an interior rectangle measuring 220 feet by 396 feet. How much land remains?

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Administrator · Answer

*18 acres remain.* First calculate the original holding: 640 x 1/4 x 1/4 x 1/2 = 20 acres. Then calculate the rectangular piece sold: 220 x 396 = 87,120 square feet. Using 43,560 square feet per acre [1] , the piece sold is 87,120 / 43,560 = 2 acres. Subtract only after the units match: 20 - 2 = 18 acres. The exercise assumes that the entire rectangle lies within the original parcel and that no other land was removed. An answer of 2 acres describes the part sold, not the part remaining. Our worked acreage problems [2] show the full sequence. For a simpler starting point, see converting a rectangular lot into acres [3] . [1] https://www.nist.gov/pml/us-surveyfoot/revised-unit-conversion-factors [2] https://63hours.com/blog/florida-real-estate-guides-1/legal-description-acreage-math-practice-81 [3] /forum/florida-real-estate-course-questions-1/how-do-i-convert-a-rectangular-lot-from-square-feet-into-acres-209

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