2006 Cayley Problem 11

\triangle ABC has side lengths 6, 8 and 10, as shown. Each of the side lengths of \triangle ABC is increased by 50\%, forming a new triangle, \triangle DEF. The area of \triangle DEF is

\textbf{(A)}\ 24\quad \textbf{(B)}\ 48\quad \textbf{(C)}\ 108\quad \textbf{(D)}\ 12\quad \textbf{(E)}\ 54

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.