Is the information sufficient 3?

Given that:

• $\overline{AD}$ is the median of $\triangle \text{ABC}$
• $E$ and $F$ are 2 points on $\overline{AD}$ such that, $\overline{AE} : \overline{EF} : \overline{FD} = 4: 3: 1$
• When $\overline{BE}$ and $\overline{BF}$ are extended going to $\overline{AC}$ , it will intersect $\overline{AC}$ at points $G$ and $H$ respectively.

If the Area of $\triangle \text{HDC}$ is $224 \ \text{sq. units }$ , then what is the area of $\triangle \text{ABC}$ ?

Don't mind the lower case letters, just mind the bigger case letters.

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