Let A B C be an equilateral triangle. Extend side \overline{A B} beyond B to a point B^{\prime} so that B B^{\prime}=3 A B. Similarly, extend side \overline{B C} beyond C to a point C^{\prime} so that C C^{\prime}=3 B C, and extend side \overline{C A} beyond A to a point A^{\prime} so that A A^{\prime}=3 C A. What is the ratio of the area of \triangle A^{\prime} B^{\prime} C^{\prime} to the area of \triangle A B C ?
Answer Choices
A. 9: 1
B. 16: 1
C. 25: 1
D. 36: 1
E. 37: 1