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Problems
Contests
National and Regional Contests
Ecuador Contests
Ecuador Juniors
2016 Ecuador Juniors
5
5
Part of
2016 Ecuador Juniors
Problems
(1)
area chasing in parallelogram 2016 Ecuador NMO (OMEC) 3.4 1.6
Source:
9/17/2021
In the parallelogram
A
B
C
D
ABCD
A
BC
D
, a line through
C
C
C
intersects the diagonal
B
D
BD
B
D
at
E
E
E
and
A
B
AB
A
B
at
F
F
F
. If
F
F
F
is the midpoint of
A
B
AB
A
B
and the area of
△
B
E
C
\vartriangle BEC
△
BEC
is
100
100
100
, find the area of the quadrilateral
A
F
E
D
AFED
A
FE
D
.
geometry
parallelogram