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2005 JHMT
2
2005 JHMT Geometry #2
2005 JHMT Geometry #2
Source:
August 31, 2023
geometry
Problem Statement
Regular hexagon
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
is inscribed in rectangle
P
Q
R
S
PQRS
PQRS
with
A
B
=
1
AB = 1
A
B
=
1
, A and
B
B
B
on side
P
Q
PQ
PQ
,
C
C
C
on side
Q
R
QR
QR
,
D
D
D
and
E
E
E
on side
R
S
RS
RS
, and
F
F
F
on side
S
P
SP
SP
. What is the area of
P
Q
R
S
PQRS
PQRS
?
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