A regular hexagon has perimeter 60 in. What is the hexagon's area?
(1 point)
Responses
75Start Root 3 End Rootin.²
75 Image with alt text: Start Root 3 End Root in.²
150Start Root 3 End Rootin.²
150 Image with alt text: Start Root 3 End Root in.²
300Start Root 3 End Root in.²
300 Image with alt text: Start Root 3 End Root in.²
600Start Root 3 End Rootin.²
To find the area of a regular hexagon, we can use the formula:
Area = (3√3/2) * (side length)^2
Since the perimeter of the hexagon is 60 in, we know that the sum of all the side lengths is 60/6 = 10 in.
Therefore, the side length of the hexagon is 10 in.
Plugging in this value into the formula, we get:
Area = (3√3/2) * (10)^2 = 300√3 in²
So the correct answer is 300Start Root 3 End Root in.².