Question
A regular hexagon has perimeter 60 in. What is the hexagon's area?
(1 point)
75\sqrt{3}in.^{=}
150\sqrt{3}in.^{2}
300\sqrt{3}in.^{2}
O 600\sqrt{3} in^{2}
(1 point)
75\sqrt{3}in.^{=}
150\sqrt{3}in.^{2}
300\sqrt{3}in.^{2}
O 600\sqrt{3} in^{2}
Answers
GPT 3.5
The perimeter of a hexagon is the sum of all its 6 sides, so 60 in = 6s, where s is the length of each side. Therefore, s = 10 in.
To find the area of a regular hexagon, we can use the formula A = (3√3/2) * s^2. Substituting s = 10 in, we get:
A = (3√3/2) * (10 in)^2
A = (3√3/2) * 100 in^2
A = 300√3 in^2
Therefore, the correct answer is 300√3 in^2.
To find the area of a regular hexagon, we can use the formula A = (3√3/2) * s^2. Substituting s = 10 in, we get:
A = (3√3/2) * (10 in)^2
A = (3√3/2) * 100 in^2
A = 300√3 in^2
Therefore, the correct answer is 300√3 in^2.