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3
SMT 2020 Geometry #3 square
SMT 2020 Geometry #3 square
Source:
August 9, 2023
geometry
Problem Statement
Square
A
B
C
D
ABCD
A
BC
D
has side length
4
4
4
. Points
P
P
P
and
Q
Q
Q
are located on sides
B
C
BC
BC
and
C
D
CD
C
D
, respectively, such that
B
P
=
D
Q
=
1
BP = DQ = 1
BP
=
D
Q
=
1
. Let
A
Q
AQ
A
Q
intersect
D
P
DP
D
P
at point
X
X
X
. Compute the area of triangle
P
Q
X
P QX
PQX
.
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