How would I find the area of this hexagon?

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1 Answer
Nov 20, 2015

#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#.