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

`(1)/(4) \cdot (1)/(4) = (1)/(16)`

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

`(1)/((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.