As usual, I've provided my solution to this geometry problem below...

We've got plenty to work with from the problem above, even if it doesn't seem like it at first. I started by drawing my hexagon on paper. I did not, however, use a ruler, so my unit squares don't exactly look identical!Click the picture to make it bigger! |

I labeled my outer vertices A through F, and then I gave the corners of the triangle labels as well. Then I started to look at angles. I used red to start describing the angle

*AGB*.
And here, you can see my math. I found the angle

*AGB*and divided by two to find angle*AGJ*, a right triangle at the top of our hexagon. Then, I used basic trigonometry and the hypotenuse of that triangle to find the length between points A and J of the hexagon.
From there, it was easy to determine the perimeter of the hexagon.

Any questions about my work? Did you solve the problem a different way? Please let us know in the comments!

-Tori

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