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Tie 1
BMT 2021 Geometry Tiebreaker #1
BMT 2021 Geometry Tiebreaker #1
Source:
August 12, 2023
geometry
Problem Statement
Regular hexagon
N
O
S
A
M
E
NOSAME
NOS
A
ME
with side length
1
1
1
and square
U
D
O
N
UDON
U
D
ON
are drawn in the plane such that
U
D
O
N
UDON
U
D
ON
lies outside of
N
O
S
A
M
E
NOSAME
NOS
A
ME
. Compute
[
S
A
N
D
]
+
[
S
E
N
D
]
[SAND] + [SEND]
[
S
A
N
D
]
+
[
SEN
D
]
, the sum of the areas of quadrilaterals
S
A
N
D
SAND
S
A
N
D
and
S
E
N
D
SEND
SEN
D
.
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