Question

PLS HELP! find the area and round to the nearest tenth

Answer 1

Given:

A regular hexagon with side 11.5 units and apothem 10 units.

To find:

The area round to the nearest tenth.

Solution:

Area of a regular polygon is:

`A=(1)/(2)Pa` ...(i)

Where, P is the perimeter and a is the apothem.

The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.

`P=6* 11.5`

`P=69`

Putting
`P=69,a=10`, we get

`A=(1)/(2)(69)(10)`

`A=(69)(5)`

`A=345`

Therefore, the area of the regular polygon is 345.0 square units.