Question

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?

Answer 1

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 2

4 fields.

Explanation:

A farmer had a land with area = 1 mile²

He divides his land into square fields with length =
`(1)/(2)` mile

and the width of the field =
`(1)/(2)` miles

Area of each square = (
`(1)/(2)` ×
`(1)/(2)`)

=
`(1)/(4)` miles²

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

=
`(1)/((1)/(4))`

= 4 fields.