Calculate the Area of a Regular Hexagon with Length 4

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information in the drawing.
• Step 2: Apply the formula for the area of a regular hexagon.
• Step 3: Perform the necessary calculations using available data.

Now, let's work through each step:

Step 1: From the drawing, a side length of "4" is provided, indicated next to a blue segment. Assuming this corresponds to the side length of the regular hexagon.

Step 2: We'll use the formula for the area of a regular hexagon, which is $\frac{3\sqrt{3}}{2} \times s^2$.

Step 3: Plugging in the side length $s = 4$, our calculation is:

Approximating $\sqrt{3} \approx 1.732$, we have:

Rounding this value gives approximately 41.56, which matches the given correct answer choice $41.56$.