Question

A regular hexagon has sides of 3 feet. What is the area of the hexagon?

Answer 1

Step-by-step explanation:

ANSWER # A

Answer 2

`13.5√(3)\:\text{ft}^(2)`

Explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is
`(3√(3) )/(2) a^(2)`

Here, the side is 3 feet

So, area of the regular hexagon

`=(3√(3) )/(2) *3^(2)`

`=(3√(3) )/(2) *9`

`=(27√(3) )/(2)`

`=13.5√(3)\:\text{ft}^(2)`

Hence, area of the regular hexagon is
`13.5√(3)\:\text{ft}^(2)`