Question

Suppose the farmer buys another 1/2 square mile of land and divides all his land into square fields 1/4 mile long and 1/4 mile wide. how many fields will he have and the total area of his land square miles? Need to know how to work problem to get answser.

Answer 1

He will have 8 fields in the total area of his land.

Step-by-step explanation

Both length and width of each square field are
`(1)/(4)` mile

So, the area of each square field
`= ((1)/(4)*(1)/(4))=(1)/(16)` square mile.

Total area of the land bought by the farmer is
`(1)/(2)` square mile.

For finding the number of fields, we need to divide the total area of land by the area of each field.

So, the number of fields =
`(1)/(2)` ÷
`(1)/(16)` =
`(1)/(2)` ×
`(16)/(1)` =
`(16)/(2)` = 8