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How many acres and square ft are there in the legal description N 1/2 of the SE 1/4 of the NW 1/4 and the N 1/2 of the S 1/2 of the SE 1/4 of the N 1/4 of section 11?

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Final answer:

The total area, calculated from the legal land description, is 30 acres or 1,306,800 square feet.

Step-by-step explanation:

The question requires a calculation of the area in both acres and square feet for parcels of land based on a legal land description.

Each full section of land is 640 acres, which is further subdivided into quarter sections of 160 acres each, and quarter-quarter sections of 40 acres each. We're dealing with two parcels here:

  • The first parcel is the N 1/2 of the SE 1/4 of the NW 1/4 of a section. Since each NW 1/4 of a section is 160 acres, and the SE 1/4 of the NW 1/4 is one-fourth of that (40 acres), the N 1/2 of that parcel is 20 acres.
  • The second parcel is the N 1/2 of the S 1/2 of the SE 1/4 of the N 1/4 of a section. The N 1/4 of a section is 160 acres, so the SE 1/4 of the N 1/4 is 40 acres. The S 1/2 of that parcel is therefore 20 acres, and the N 1/2 of that is 10 acres.

The total area then is the sum of the two parcels, which is 20 acres + 10 acres = 30 acres. To convert acres to square feet, recall that one acre is 43,560 square feet. Therefore, 30 acres is 30 × 43,560 square feet, which equals 1,306,800 square feet.

User Nathaniel Flath
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