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Indonesia Regional
2023 Indonesia Regional
1
1
Part of
2023 Indonesia Regional
Problems
(1)
Longest line to cut a square into a 20:23 ratio
Source: Indonesia Regional 2023 Essay Number 1
7/16/2023
Let
A
B
C
D
ABCD
A
BC
D
be a square with side length
43
43
43
and points
X
X
X
and
Y
Y
Y
lies on sides
A
D
AD
A
D
and
B
C
BC
BC
respectively such that the ratio of the area of
A
B
Y
X
ABYX
A
B
Y
X
to the area of
C
D
X
Y
CDXY
C
D
X
Y
is
20
:
23
20 : 23
20
:
23
. Find the maximum possible length of
X
Y
XY
X
Y
.
geometry
ratio
Indonesia
area
RMO