smc

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