SOLUTION: If I have a foundation 14 feet by14 feet and I want to build a hexagon gazebo there , what would be the length of the six sides .

Question 1102500: If I have a foundation 14 feet by14 feet and I want to build a hexagon gazebo there , what would be the length of the six sides .
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The distance "across" a regular hexagon, from one vertex (corner) to the opposite vertex, is twice the side length. So if you want two of the sides of the gazebo to be parallel to the edges of the foundation, then your side length has to be half the width of the foundation, which is 7 feet.

With that configuration, the width of the gazebo from one side to the other will be a bit over 12 feet, leaving nearly 2 feet of the foundation unused.

It would look something like this:

If you want the maximum side length for the hexagon, then rotating it a bit so that there are no sides parallel to a side of the foundation can get you a side length up to just under 7.25 feet.

It might look something like this:

You probably only wanted that first answer....

But, hey -- I had fun trying to draw those diagrams!
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