2001 Cayley Problem 15

A small island has \frac{2}{5} of its surface covered by forest and \frac{1}{4} of the remainder of its surface by sand dunes. The island also has 90 hectares covered by farm land. If the island is made up of only forest, sand dunes and farm land, what is the total area of the island, to the nearest hectare?

\textbf{(A)}\ 163\quad \textbf{(B)}\ 120\quad \textbf{(C)}\ 200\quad \textbf{(D)}\ 138\quad \textbf{(E)}\ 257

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.