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.