AMC 8 1992 Problem 22

Eight $1\times 1$ square tiles are arranged as shown so their outside edges form a polygon with a perimeter of $14$ units. Two additional tiles of the same size are added to the figure so that at least one side of each tile is shared with a side of one of the squares in the original figure. Which of the following could be the perimeter of the new figure?

$\text{(A)}\ 15 \text{(B)}\ 17 \text{(C)}\ 18 \text{(D)}\ 19 \text{(E)}\ 20$