SAT Math Practice Question #24325 - SATify | SATify

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SAT Math Practice Question #24325 - SATify | SATify

#24325

geometry

trapezoids

hard

150 sec

In trapezoid $A BC D$ we have $\overline{A B} ∥ \overline{D C}$ , $E$ as the midpoint of $\overline{BC}$ , and $F$ as the midpoint of $\overline{D A}$ . The area of $A BEF$ is $1.5$ times the area of $FEC D$ . What is $\frac{A B}{D C}$ ?

A.

$\frac{5}{2}$

B.

$\frac{7}{3}$

C.

$\frac{8}{3}$

D.

$\frac{9}{4}$

E.

$\frac{10}{3}$