# How would I find the area of this hexagon?

Nov 20, 2015

$30 {\text{cm}}^{2}$

#### Explanation:

Consider the shapes the hexagon is cut into. There are two central squares and four congruent triangles.

Each squares area can be found through the formula $A = {s}^{2}$. Both have sides $3$ so each square's area is $9$. Since there are two squares, their total area is $18$.

As for the triangles, $A = \frac{1}{2} b h$.

Each triangle has $b = 3$ and $h = 2$, so one of the triangle's areas is $\frac{1}{2} \left(3\right) \left(2\right) = 3$. There are four triangles, so their total area is $12$.

We can add the total area of the squares ($18$) and the triangles ($12$) to find that the hexagon's total area is $30 {\text{cm}}^{2}$.