SAT Math Practice Question #29095 - SATify | SATify

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SAT Math Practice Question #29095 - SATify | SATify

#29095

geometry

area

hard

150 sec

Let $A BC D$ be a trapezoid with $A B ∥ C D$ , $A B = 9$ , $BC = 4$ , $C D = 17$ , and $D A = 6$ . Bisectors of $∠ A$ and $∠ D$ meet at $P$ . What is the area of $△ A P D$ ?

A.

$\frac{9 15}{8}$

B.

$\frac{7 15}{8}$

C.

$\frac{11 15}{8}$

D.

$\frac{13 15}{8}$

E.

$\frac{15 15}{8}$