Question 17
Equiangular hexagon $ABCDEF$ has side lengths $$
AB=CD=EF=1
$$ and $$
BC=DE=FA=r.
$$ The area of $\triangle ACE$ is $70\%$ of the area of the hexagon. What is the sum of all possible values of $r?$
AB=CD=EF=1
$$ and $$
BC=DE=FA=r.
$$ The area of $\triangle ACE$ is $70\%$ of the area of the hexagon. What is the sum of all possible values of $r?$