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Calculate the acreage of a parcel having the following legal description: The W 1/2 of the SW 1/4 of the NW 1/4 of the NE 1/4 and the SE 1/4 of the SW 1/4 of the NW 1/4 of the NE 1/4 of Section 29, T19S, R10E.

First - Look at the words "and the" that should be a clue that there are two seperate locations.

Second - It states it's a SECTION. Section = 640 acres.

A. 640 (1/4)(1/4)(1/4)(1/2) = 5
B. 640 (1/4)(1/4)(1/4)(1/4) = 2.5
C. 5+2.5 = 7.5

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Final answer:

The total acreage of the described parcel is 7.5 acres, calculated by breaking down the legal description into divisions of a section and adding the two separate parts together.

Step-by-step explanation:

To calculate the acreage of a parcel with the given legal description, we need to understand how land is divided using the grid system. A section is a square parcel of land that is one square mile in size, equal to 640 acres. This section can be divided into quarters and further into quarter-quarters.

The parcel described as the W 1/2 of the SW 1/4 of the NW 1/4 of the NE 1/4 is calculated this way:

  • 640 acres (for the whole section)
  • Divide by 4 three times (because of the 1/4th in each part of the description)
  • Multiply by 1/2 (for the W 1/2)

So, 640 acres (1/4)(1/4)(1/4)(1/2) = 5 acres.

The second part of the parcel, the SE 1/4 of the SW 1/4 of the NW 1/4 of the NE 1/4 is similar, but without the final 1/2 multiplication:

  • 640 acres (for the whole section)
  • Divide by 4 three times (because of the 1/4th in each part of the description)

So, 640 acres (1/4)(1/4)(1/4) = 2.5 acres.

Adding both parts together:

  • 5 acres + 2.5 acres = 7.5 acres

Therefore, the total acreage of the parcel is 7.5 acres.

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