Question
What are the side lengths of a hexagon with an area of 127.3 inches?
Answers
GPT 3.5
To find the side lengths of a regular hexagon with an area of 127.3 inches, we can use the formula for the area of a regular hexagon:
Area = (3√3/2) x (side length)^2
Given that the area is 127.3 inches, we can set up the equation:
127.3 = (3√3/2) x (side length)^2
Now, we can solve for the side length:
side length = √((2 x 127.3) / (3√3))
side length = √(254.6 / 5.196)
side length ≈ √49 = 7 inches
Therefore, the side length of the regular hexagon is approximately 7 inches.
Area = (3√3/2) x (side length)^2
Given that the area is 127.3 inches, we can set up the equation:
127.3 = (3√3/2) x (side length)^2
Now, we can solve for the side length:
side length = √((2 x 127.3) / (3√3))
side length = √(254.6 / 5.196)
side length ≈ √49 = 7 inches
Therefore, the side length of the regular hexagon is approximately 7 inches.