MathDB

In the figure, the triangles

ABC

and

CDE

are equilateral, with side lengths

1

and

4

, respectively. Moreover,

B

C

and

D

are collinear and

F

and

G

are midpoints of

BC

and

CD

, respectively. Let

P

be the intersection point of

AF

and

BE

.
Determine the area of the shaded triangle

BPG

.
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4