Question

A farmer has one square mile land . If he divides his land into square fields that are 1/4 mile long and 1/4 mile wide,how many fields will he have?

Answer 1

A square field that is 1/4 mile long and 1/4 mile wide has area

$\dfrac{1}{4} \cdot \dfrac{1}{4} = \dfrac{1}{16}$

So, to know how many of these fields fit in the biggest field, you have to divide their areas:

$\dfrac{1}{\frac{1}{16}} = 16$

So, if the farmer divides his land into square fields that are 1/4 mile long and 1/4 mile wide, he will have 16 of these smaller fields.