Verified Answer :

4 because if you were to split each side in half so all sides of each new field were half a mile each new field would be half a mile by half a mile so 4 new fields if it helps more try drawing it out and splitting it till each side is half a mile.

Answer:

4 fields.

Step-by-step explanation:

A farmer had a land with area = 1 mile²

He divides his land into square fields with length = \(\frac{1}{2}\) mile

and the width of the field = \(\frac{1}{2}\) miles

Area of each square = (\(\frac{1}{2}\) × \(\frac{1}{2}\))

                                  = \(\frac{1}{4}\) miles²

number of fields = \(\frac{\text{total area of the land}}{\text{area of the square field}}\)

                         = \(\frac{1}{\frac{1}{4}}\)

                         = 4 fields.