Please Help Me!

Find the area of this polygon rround to the nearest tenth.
The polygon is a hexagon with six sides, and all they give is the apothem which is 6 inches long, what is the area?
I know the formula is A=1/2ap
But can anyone help!

The polygon can be divided up into six triangles, each with base=s and height=6

Since it is a hexagon, you know the triangles are equilateral triangles, with height (apothem) = s*sqrt(3)/2

So, if the apothem is 6, 6 = s*sqrt(3)/2, and s = 12/sqrt(3) = 4sqrt(3)

A = 1/2 * a * p
= 1/2 * 6 * 6*4sqrt(3)
= 72sqrt(3)

Of course! I'd be happy to help you find the area of the hexagon.

To find the area of a regular hexagon, you can use the formula: A = (1/2) × a × p, where A represents the area, a represents the apothem, and p represents the perimeter.

In this case, you already know the apothem, which is 6 inches. However, you haven't provided the length of each side or the perimeter of the hexagon.

To find the perimeter of a regular hexagon, you can multiply the length of one side by the number of sides, which in this case is 6. However, since the length of each side is not provided, I can't calculate the perimeter directly.

If you have the length of one side or any additional information, please provide it, and I'll be able to assist you further in calculating the area of the hexagon.