The figure shows a triangle overlapping a rectangle. The shaded area is 36 $$cm^2$$. The ratio of the area of the triangle to the area of the rectangle is 4: 9 <br> $$\frac{1}{12}$$ of the rectangle is shaded. <br> <hr> Find the area of the triangle. <br> <input min="0" type="number" id ="imp6pg206q9_1" class="lineinput" placeholder="?" /> $$cm^2$$