A square-shaped field is divided into n rectangular farms whose sides are parallel to the sides of the field. What is the greatest value of n, if the sum of the perimeters of the farms is equal to 100 times of the perimeter of the field?<spanclass=′latex−bold′>(A)</span>10000<spanclass=′latex−bold′>(B)</span>20000<spanclass=′latex−bold′>(C)</span>50000<spanclass=′latex−bold′>(D)</span>100000<spanclass=′latex−bold′>(E)</span>200000