2017 AMC 12B Problem 15

Let ABC be an equilateral triangle. Extend side \overline{AB} beyond B to a point B' so that BB'=3 \cdot AB. Similarly, extend side \overline{BC} beyond C to a point C' so that CC'=3 \cdot BC, and extend side \overline{CA} beyond A to a point A' so that AA'=3 \cdot CA. What is the ratio of the area of \triangle A'B'C' to the area of \triangle ABC?

\textbf{(A)}\ 9\qquad\textbf{(B)}\ 16\qquad\textbf{(C)}\ 25\qquad\textbf{(D)}\ 36\qquad\textbf{(E)}\ 37

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.