To determine the area of the figure EFGHI, we need to understand the shapes involved, which you mentioned as a square and a triangle, and their dimensions.

Step 1: Area of the square

The side of the square is given as $14$.

• Area of a square is given by: $\text{Area of square} = \text{side}^2 = 14^2 = 196$

Step 2: Area of the triangle

The dimensions related to the triangle are $9.9$ and $7$. Assuming that 9.9 is the base and 7 is the height of the triangle:

• Area of a triangle is given by: $\text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 9.9 \times 7 = 34.65$

Step 3: Total area of the figure

The total area of the figure EFGHI would be the sum of the areas of the square and the triangle: $\text{Total area} = 196 + 34.65 = 230.65$

Since this value doesn't match any of the provided choices exactly, it could be rounded or slightly approximate depending on context. Given the options, the closest value is 245 (Option C).

---

Would you like more details or have any questions?
Here are 5 related questions for further exploration:

1. How do you calculate the area of composite shapes with more than two components?
2. What if the base and height of the triangle were interchanged?
3. How do rounding rules affect area calculations in real-world problems?
4. What are some examples where understanding areas of figures is essential in engineering?
5. How would the area change if the square were a rectangle instead?

Tip: Always double-check that the dimensions provided align with the correct geometric formulas before calculating.