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2003 Paraguay Mathematical Olympiad
5
area chasing in a square - OMAPA Paraguay 2003.5
area chasing in a square - OMAPA Paraguay 2003.5
Source:
September 14, 2021
geometry
areas
square
Problem Statement
In a square
A
B
C
D
ABCD
A
BC
D
,
E
E
E
is the midpoint of side
B
C
BC
BC
. Line
A
E
AE
A
E
intersects line
D
C
DC
D
C
at
F
F
F
and diagonal
B
D
BD
B
D
at
G
G
G
. If the area
(
E
F
C
)
=
8
(EFC) = 8
(
EFC
)
=
8
, determine the area
(
G
B
E
)
(GBE)
(
GBE
)
.
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