AMC 8 2009 Problem 18

The diagram represents a $7$-foot-by-$7$-foot floor that is tiled with $1$-square-foot black tiles and white tiles. Notice that the corners have white tiles. If a $15$-foot-by-$15$-foot floor is to be tiled in the same manner, how many white tiles will be needed?

$\textbf{(A)}\ 49 \textbf{(B)}\ 57 \textbf{(C)}\ 64 \textbf{(D)}\ 96 \textbf{(E)}\ 126$