One interior angle of an $n$-sided regular polygon is calculated as $\frac{(n-2) \cdot 180^{\circ}}{n}$.
A triangular piece of paper is cut along the dashed lines as shown in the figure, 3 triangular pieces are removed, and a regular hexagon is obtained.
Given that the sum of the perimeters of the removed triangles is 36 units, what is the perimeter of the hexagon?\\
A) 18\\
B) 24\\
C) 30\\
D) 36\\
E) 42