Question

a farmer has one square mile of land. ① if he divides his land into square fields that are \\(\frac{1}{2}\\) mile long and \\(\frac{1}{2}\\) mile wide, how many fields will he have? \\(\underline{quadquad}\\) fields

Explanation:

Step1: Find area of each small field

The area of a square (or rectangle) is length times width. For each small field, length = $\frac{1}{2}$ mile and width = $\frac{1}{2}$ mile. So area of one small field is $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$ square miles.

Step2: Find number of fields

The total area of the land is 1 square mile. To find the number of fields, divide total area by area of one field. So number of fields = $1 \div \frac{1}{4} = 1\times\frac{4}{1} = 4$.

Answer:

4