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Answer :
The closest multiple-choice option given is B) 40 acres, 1,742,400 square feet.
1. N 1/2 of the SE 1/4 of the NW 1/4
- NW 1/4 of a section is 640 acres / 4 = 160 acres.
- SE 1/4 of the NW 1/4 is 160 acres / 4 = 40 acres.
- N 1/2 of the SE 1/4 of the NW 1/4 is 40 acres / 2 = 20 acres.
2. N 1/2 of the S 1/2 of the SE 1/4 of the N 1/4
- N 1/4 of a section is 640 acres / 4 = 160 acres.
- SE 1/4 of the N 1/4 is 160 acres / 4 = 40 acres.
- S 1/2 of the SE 1/4 of the N 1/4 is 40 acres / 2 = 20 acres.
- N 1/2 of the S 1/2 of the SE 1/4 of the N 1/4 is 20 acres / 2 = 10 acres.
Total acres = 20 acres + 10 acres = 30 acres.
To convert acres to square feet, recall that 1 acre = 43,560 square feet.
Total square feet = 30 acres * 43,560 square feet/acre = 1,306,800 square feet.
However, after verifying our calculations, the correct answer based on detailed calculations is:
30 acres, 1,306,800 square feet.
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Final answer:
The correct option is C, which is 80 acres, or 3,484,800 square feet. The total combined acreage of the parcels described is 40 acres, which equals 1,742,400 square feet, making option B the correct answer.
Explanation:
The correct option is C, which is 80 acres, or 3,484,800 square feet. The question asks about determining the total acreage and square footage for specific subdivided parts of a section. A section typically comprises 640 acres. The legal description divides the section into smaller parcels, and calculating the area of these parcels requires an understanding of how land is subdivided according to the public land survey system.
The first part of the description, N 1/2 of the SE 1/4 of the NW 1/4, represents 1/2 of 1/4 of 1/4 of 640 acres, which equals 20 acres. The second part, N 1/2 of the S 1/2 of the SE 1/4 of the N 1/4, also accounts for 20 acres (1/2 of 1/2 of 1/4 of 1/4 of 640 acres). Therefore, the total area is 40 acres.
Since there are 43,560 square feet in an acre, multiplying 40 acres by 43,560 square feet per acre gives a total of 1,742,400 square feet. This calculation reveals the answer to the question concerning the area in both acres and square feet.
