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2013 EGMO
2
2
Part of
2013 EGMO
Problems
(1)
Dissecting a rectangle
Source: European Girl's MO 2013, Problem 2
4/10/2013
Determine all integers
m
m
m
for which the
m
×
m
m \times m
m
×
m
square can be dissected into five rectangles, the side lengths of which are the integers
1
,
2
,
3
,
…
,
10
1,2,3,\ldots,10
1
,
2
,
3
,
…
,
10
in some order.
geometry
rectangle
combinatorial geometry
EGMO
EGMO 2013