MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2016 ASDAN Math Tournament
6
2016 Geometry #6
2016 Geometry #6
Source:
August 11, 2022
2016
Geometry Test
Problem Statement
In the diagram below, square
A
B
C
D
ABCD
A
BC
D
has side length
4
4
4
. Two congruent square
E
G
I
K
EGIK
EG
I
K
and
F
H
J
L
FHJL
F
H
J
L
are drawn such that
A
E
=
F
B
=
B
G
=
H
C
=
C
I
=
J
D
=
D
K
=
L
A
=
1
AE=FB=BG=HC=CI=JD=DK=LA=1
A
E
=
FB
=
BG
=
H
C
=
C
I
=
J
D
=
DK
=
L
A
=
1
and
E
F
=
G
H
=
I
J
=
K
L
=
2
EF=GH=IJ=KL=2
EF
=
G
H
=
I
J
=
K
L
=
2
. Compute the area of the region that lies in both
E
G
I
K
EGIK
EG
I
K
and
F
H
J
L
FHJL
F
H
J
L
.
Back to Problems
View on AoPS