Question

What is the area of a regular hexagon if a side is 30

Answer 1

`1350√(3)` square units (approximately 2338.26859)

Explanation:

The formula for finding the area of a regular hexagon when you know its side length is
`A=(3√(3)*s^2)/(2)`, where
`A` is the area and
`s` is the side length.

1. Substitute in the side length.
   `A=(3√(3)*30^2)/(2)`
2. Simplify the exponent.
   `A=(3√(3)*900)/(2)`
3. Multiply.
   `A=(2700√(3))/(2)`
4. Divide.
   `A=1350√(3)`

`1350√(3)` is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.