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SAT Math Practice Question #25720 - SATify | SATify

#25720

geometry

polygons

Relative Motion

hard

150 sec

Consider the $12$ -sided polygon $A BC D EFG H I J K L$ , as shown.

Each of its sides has length $4$ , and each two consecutive sides form a right angle. Suppose that $\overline{D I}$ and $\overline{F L}$ meet at $M$ . What is the area of quadrilateral $D L FM$ ?

A.

$\frac{40}{3}$

B.

$14$

C.

$16$

D.

$\frac{50}{3}$

E.

$18$