e the image to answer the question.
An illustration shows a hexagon with an inward triangle drawn from one of the sides. The triangle is marked A equals 4.
Find the area of the regular hexagon.
To find the area of a regular hexagon, you can use the formula:
Area = (3√3 * s^2) / 2
Where s is the length of a side of the hexagon.
In this case, we know that the base of the triangle (which is also a side of the hexagon) is 4. Since the triangle is drawn inward from the hexagon, this side is the same length as a side of the hexagon.
Therefore, s = 4.
Plugging this into the formula, we get:
Area = (3√3 * 4^2) / 2
Area = (3√3 * 16) / 2
Area = (48√3) / 2
Area = 24√3
So, the area of the regular hexagon is 24√3.