Question

How would I find the area of this hexagon?

Answer 1

`30"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=1/2bh`.

Each triangle has `b=3` and `h=2`, so one of the triangle's areas is `1/2(3)(2)=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"cm"^2`.