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Contests
National and Regional Contests
India Contests
India IOQM
2022 IOQM India
5
5
Part of
2022 IOQM India
Problems
(1)
IOQM 2022 P5
Source:
3/8/2022
In parallelogram
A
B
C
D
ABCD
A
BC
D
, the longer side is twice the shorter side. Let
X
Y
Z
W
XYZW
X
Y
Z
W
be the quadrilateral formed by the internal bisectors of the angles of
A
B
C
D
ABCD
A
BC
D
. If the area of
X
Y
Z
W
XYZW
X
Y
Z
W
is
10
10
10
, find the area of
A
B
C
D
ABCD
A
BC
D
geometry
parallelogram
IOQM