SAT Math Practice Question #22910 - SATify | SATify

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SAT Math Practice Question #22910 - SATify | SATify

#22910

geometry

polygons

Heron's Formula

hard

120 sec

Equiangular hexagon $A BC D EF$ has side lengths $A B = C D = EF = 2$ and $BC = D E = F A = r$ . The area of $△ A CE$ is $60%$ of the area of the hexagon. What is the sum of all possible values of $r$ ?

A.

$5$

B.

$6$

C.

$7$

D.

$8$

E.

$9$