SAT Math Practice Question #22911 - SATify | SATify

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SAT Math Practice Question #22911 - SATify | SATify

#22911

geometry

polygons

Heron's Formula

hard

120 sec

Equiangular hexagon $A BC D EF$ has side lengths $A B = C D = EF = 3$ and $BC = D E = F A = r$ . The area of $△ A CE$ is $80%$ of the area of the hexagon. What is the sum of all possible values of $r$ ?

A.

$27$

B.

$30$

C.

$33$

D.

$36$

E.

$39$