Question

Find the area of the regular polygon. Round to the nearest tenth.

I’m a little lost here a lil help please lol

Answer 1

`110.9\ ft^(2)`

Explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

`A=(1)/(2) b^(2)sin(60\°)`

we have that

`b=16\ ft`

substitute

`A=(1)/(2) (16^(2))sin(60\°)=110.9\ ft^(2)`