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Paraguay Mathematical Olympiad
2007 Paraguay Mathematical Olympiad
2
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Part of
2007 Paraguay Mathematical Olympiad
Problems
(1)
Paraguayan National Olympiad 2007, Level 3, Problem 2
Source:
9/1/2014
Let
A
B
C
D
ABCD
A
BC
D
be a square, such that the length of its sides are integers. This square is divided in
89
89
89
smaller squares,
88
88
88
squares that have sides with length
1
1
1
, and
1
1
1
square that has sides with length
n
n
n
, where
n
n
n
is an integer larger than
1
1
1
. Find all possible lengths for the sides of
A
B
C
D
ABCD
A
BC
D
.
geometry