Final answer:
To calculate the area described as SE 1/4 OF SE 1/4 OF SE 1/4 OF SECTION 16, we divide the area of a section (640 acres) successively by 4 for each quarter mentioned, resulting in an area of 10 acres.
Step-by-step explanation:
The question involves determining the area in acres of a parcel of land with a legal description of SE 1/4 OF SE 1/4 OF SE 1/4 OF SECTION 16. Since a section is a square parcel with an area of 640 acres, the process involves successive division by four (for each "1/4" mentioned in the description) to find the area of the described parcel. Therefore, the calculation goes as follows:
Firstly, the section's area (640 acres) is divided by 4 to find the area of the southeast quarter (SE 1/4) of the section:
640 acres / 4 = 160 acres
Next, this result (160 acres) is divided by 4 to find the area of the SE 1/4 of the SE 1/4 of the section:
160 acres / 4 = 40 acres
Finally, this last result (40 acres) is again divided by 4 to find the area of the SE 1/4 of the SE 1/4 of the SE 1/4 of the section:
40 acres / 4 = 10 acres
Therefore, the SE 1/4 of the SE 1/4 of the SE 1/4 of Section 16 contains 10 acres.