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2014 ASDAN Math Tournament
20
20
Part of
2014 ASDAN Math Tournament
Problems
(1)
2014 General #20
Source:
7/5/2022
A
B
C
D
ABCD
A
BC
D
is a parallelogram, and circle
S
S
S
(with radius
2
2
2
) is inscribed insider
A
B
C
D
ABCD
A
BC
D
such that
S
S
S
is tangent to all four line segments
A
B
AB
A
B
,
B
C
BC
BC
,
C
D
CD
C
D
, and
D
A
DA
D
A
. One of the internal angles of the parallelogram is
6
0
ā
60^\circ
6
0
ā
. What is the maximum possible area of
A
B
C
D
ABCD
A
BC
D
?
2014
General Test