In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?
<spanclass=′latex−bold′>(A)</span>43<spanclass=′latex−bold′>(B)</span>44<spanclass=′latex−bold′>(C)</span>45<spanclass=′latex−bold′>(D)</span>46<spanclass=′latex−bold′>(E)</span>47