Use 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.
(1 point)
___units
To find the area of the regular hexagon, we need to know the formula for the area of a regular hexagon:
Area = (3√3/2) * s^2
Where s is the length of a side of the hexagon. In this case, we know the length of the triangle, which is 4 units. Since the triangle and the hexagon share a side, the length of the hexagon's side is also 4 units.
Plugging in the value of s = 4 into the formula, we get:
Area = (3√3/2) * 4^2
Area = (3√3/2) * 16
Area = 24√3
Therefore, the area of the regular hexagon is 24√3 units.