Problems(1)
One-inch squares are cut from the corners of this 5 inch square. What is the area in square inches of the largest square that can be fitted into the remaining space?<spanclass=′latex−bold′>(A)</span>9<spanclass=′latex−bold′>(B)</span>1221<spanclass=′latex−bold′>(C)</span>15<spanclass=′latex−bold′>(D)</span>1521<spanclass=′latex−bold′>(E)</span>17[asy]
draw((0,0)--(0,5)--(5,5)--(5,0)--cycle);
filldraw((0,4)--(1,4)--(1,5)--(0,5)--cycle, gray);
filldraw((0,0)--(1,0)--(1,1)--(0,1)--cycle, gray);
filldraw((4,0)--(4,1)--(5,1)--(5,0)--cycle, gray);
filldraw((4,4)--(4,5)--(5,5)--(5,4)--cycle, gray);
[/asy] AMCAMC 8geometry