a field that is ½ by ½ has an area of ½*½ or namely ¼.
now, the farmer has 1 m² of land, if he divides it in ½ by ½ plots, how many of those plots will there be? namely how many times ¼ goes into 1?
[tex] \bf 1\div \cfrac{1}{4}\implies 1\cdot \cfrac{4}{1}\implies 4 [/tex]