SAT Math Practice Question #27486 - SATify | SATify

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SAT Math Practice Question #27486 - SATify | SATify

#27486

geometry

trigonometry

hard

180 sec

In rectangle $A BC D$ , $A D = 3$ . $P$ is on $\overline{A B}$ , and $\overline{D B}$ and $\overline{D P}$ divide $∠ A D C$ into three angles such that $∠ A D P : ∠ P D B : ∠ B D C = 1 : 2 : 3$ . What is the perimeter of $△ B D P$ ?

A.

$3 (6 + 3 - 1)$

B.

$3 (6 + 3 + 1)$

C.

$3 (6 + 2 - 1)$

D.

$6 + 33$

E.

$36 + 6$