In the diagram, C D=C E=30 and F is the midpoint of C E. Two quarter circles are drawn: one with centre C and passing through D and E, and the other with centre F and passing through E. Let x be the area of the region that is inside rectangle G D C F and outside the larger quarter circle. Let y be the area that is inside the larger quarter circle, outside the smaller quarter circle, and outside rectangle G D C F. Let d be the positive difference between x and y. What is the integer closest to d?
