the area of a regular hexagon is 35" squared. Find the length of a side.
HOW DID YOU GET THIS ANSWER
To find the length of a side of a regular hexagon, we can use the formula for the area of a regular hexagon. The formula for the area of a regular hexagon is:
Area = (3√3 * s^2) / 2, where s is the length of a side.
Given that the area of the regular hexagon is 35 square units, we can substitute this value into the formula:
35 = (3√3 * s^2) / 2
To find the length of a side, we can rearrange the equation:
s^2 = (2 * 35) / (3√3)
s^2 = 70 / (3√3)
To simplify further, we can rationalize the denominator by multiplying the equation by (√3 / √3):
s^2 = [(70 / (3√3)) * (√3 / √3)]
s^2 = [70√3 / (3 * 3)]
s^2 = [70√3 / 9]
Now, we can take the square root of both sides to find the length of a side:
s = √[70√3 / 9]
This is the simplified expression for the length of a side of the regular hexagon.
sXq
3.97 is lengith