SAT Math Practice Question #27485 - SATify | SATify

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SAT Math Practice Question #27485 - SATify | SATify

#27485

geometry

trigonometry

hard

180 sec

In rectangle $A BC D$ , $A D = 2$ . $P$ is on $\overline{A B}$ , and $\overline{D B}$ and $\overline{D P}$ trisect $∠ A D C$ . What is the area of $△ B D P$ ?

A.

$\frac{2 3}{3}$

B.

$\frac{4 3}{3}$

C.

$23$

D.

$\frac{8 3}{3}$

E.

$43$