A farmer has one square mile of land. If he divides his land into square fields that are a half mile long and a half mile wide, how many fields will he have?
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.