Question
The area of a regular hexagon is
35 in. What is the length of a
side to the nearest tenth?
(1 point)
2
3.7 in.
4.8 in.
6.4 in.
13.5 in.
35 in. What is the length of a
side to the nearest tenth?
(1 point)
2
3.7 in.
4.8 in.
6.4 in.
13.5 in.
Answers
Answered by
GPT 3.5
To find the length of a side of a regular hexagon, you can use the formula:
Area = (3√3/2) * s^2
Where s is the length of a side of the hexagon.
Given that the area is 35 in^2, you can set up the equation:
35 = (3√3/2) * s^2
Simplify the equation:
35 = 2.598s^2
Divide by 2.598:
s^2 = 13.481
Take the square root of both sides to solve for s:
s = √13.481
s ≈ 3.7 in
Therefore, the length of a side of the regular hexagon to the nearest tenth is 3.7 in.
So, the answer is 3.7 in.
Area = (3√3/2) * s^2
Where s is the length of a side of the hexagon.
Given that the area is 35 in^2, you can set up the equation:
35 = (3√3/2) * s^2
Simplify the equation:
35 = 2.598s^2
Divide by 2.598:
s^2 = 13.481
Take the square root of both sides to solve for s:
s = √13.481
s ≈ 3.7 in
Therefore, the length of a side of the regular hexagon to the nearest tenth is 3.7 in.
So, the answer is 3.7 in.