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National and Regional Contests
Taiwan Contests
Taiwan APMO Prelininary
2018 Taiwan APMO Preliminary
6
6
Part of
2018 Taiwan APMO Preliminary
Problems
(1)
PQRE area wanted
Source: 2018 Taiwan APMO preliminary
11/10/2020
Let
A
B
C
D
ABCD
A
BC
D
be an unit aquare.
E
,
F
E,F
E
,
F
be the midpoints of
C
D
,
B
C
CD,BC
C
D
,
BC
respectively.
A
E
AE
A
E
intersects the diagonal
B
D
BD
B
D
at
P
P
P
.
A
F
AF
A
F
intersects
B
D
,
B
E
BD,BE
B
D
,
BE
at
Q
,
R
Q,R
Q
,
R
respectively. Find the area of quadrilateral
P
Q
R
E
PQRE
PQRE
.
geometry