We have to find how many fields the farmer has.
The total land is 1.5 square mile.
If the fields have dimensions of 1/4 mile by 1/4 mile, the field area will be:
[tex]A_f=(\frac{1}{4})^2=\frac{1}{16}[/tex]We can now calculate the maximum number of fields as the quotient of the total area and the area of the field:
[tex]n=\frac{A}{A_f}=\frac{1.5}{\frac{1}{16}}=1.5\cdot16=24\text{ }fields[/tex]If the length and width of the land is multiple of 1/4 miles, the number of fields can be 24.
Answer: 24 fields
