Afarmer 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?

4 fields.

Step-by-step explanation:

A farmer had a land with area = 1 mile²

He divides his land into square fields with length = mile

and the width of the field = miles

Area of each square = ( × )

                                  = miles²

number of fields =

                         =

                         = 4 fields.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.