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National and Regional Contests
India Contests
India IOQM
2022 IOQM India
1
1
Part of
2022 IOQM India
Problems
(1)
IOQM 2022 P1
Source:
3/8/2022
Three parallel lines
L
1
,
L
2
,
L
2
L_1, L_2, L_2
L
1
,
L
2
,
L
2
are drawn in the plane such that the perpendicular distance between
L
1
L_1
L
1
and
L
2
L_2
L
2
is
3
3
3
and the perpendicular distance between lines
L
2
L_2
L
2
and
L
3
L_3
L
3
is also
3
3
3
. A square
A
B
C
D
ABCD
A
BC
D
is constructed such that
A
A
A
lies on
L
1
L_1
L
1
,
B
B
B
lies on
L
3
L_3
L
3
and
C
C
C
lies on
L
2
L_2
L
2
. Find the area of the square.
geometry
IOQM