The correct option is
A 8a![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1168831/original_q78.PNG)
We know perimeter is the sum of all the side lengths of any closed figure.
For the polygon, we have to find out the lengths of
ED and
CD.
Now,
AF+ED=BC
⇒ED=2a−a=a
Similarly,
AB=EF+CD
⇒CD=2a−a=a units.
Now, that we know the lengths of all the sides.
The perimeter of
ABCDEF
=AB+BC+CD+DE+EF+FA
=2a+2a+a+a+a+a
=8a