## -Welp- one year ago Is this correct? *

1. -Welp-

Area of each hexagonal shape= 24^2

2. anonymous

$\frac{ 3\sqrt{3} }{ 2 } a^2$

3. anonymous

plug it in and try

4. -Welp-

|dw:1438258025935:dw| Sorry

5. anonymous

the area for a hexafonal shape is $\left(\begin{matrix}3\sqrt{3} \\ 2\end{matrix}\right) a ^{2}$

6. anonymous

where a is the side

7. anonymous

hexagonal

8. anonymous

24^2 = Not correct

9. anonymous

The area of a hexagon is : $$\dfrac{1}{2}aP$$ a = apothem = height of each triangle P = perimeter around the polygon

10. anonymous

But that formula applies to all polygons.

11. anonymous

|dw:1438258522083:dw|

12. anonymous

If you choose the center point as the origin, you will find that all the interior sides of the hexagon are congruent, meaning all the interior angles are 60$$^\circ$$

13. anonymous

|dw:1438258924761:dw|

14. anonymous

Using the special right triangle rule of 30-60-90 triangles, we can find h. $\tan(60^\circ) = \frac{h}{2} \longrightarrow h=2\tan(60^\circ)$

15. anonymous

Now that we have found h, we can find the area of the hexagon. $\sf \text{ # of sides} \cdot A_{\triangle} = \text{area of hexagon}$

16. anonymous

Do you understand? Hope this helps.

17. Jaynator495

Explosive Diarrhea