Tuesday

September 16, 2014

September 16, 2014

Posted by **Geomtery** on Tuesday, February 21, 2012 at 10:11pm.

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!

- Geometry -
**Steve**, Wednesday, February 22, 2012 at 10:44amThe 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)

**Answer this Question**

**Related Questions**

Identifying patterns - If the pattern of polygons continues, how many sides will...

Math--Area - Find the area of each regular polygon to the nearest tenth. Octagon...

Math/Geometry - Can you help me with this? Find the area of each regular polygon...

algebra - the apothem of a regular polygon is the distance from the center of ...

algebra - The apothem of a regular polygon is the distance from the center of ...

Geometry - The sum of the interior angles of polygon is 1800. Find the number of...

geometry - If a polygon is a kite, which statement is not true? a. The polygon ...

Geometry - Find the area of a circle circumscribed about a regular hexagon with ...

maths: plzz help - (a) A polygon with n sides has a total of 1/p*n(n-q) ...

math - the sides of a polygon have lengths of 2cm,5cm,6cm,4cm,9cm and the ...