If a square's side length is a whole number, measured in
centimetres, which of the following could be the perimeter of the
square?
, 2026
Pick one
Solution
Suppose that each side of the square has length , where is a whole number. Then the perimeter
of the square is This means that the perimeter of the square in
centimetres is a multiple of . Of
the choices given, only is a multiple of .
(We note that in this case, the square has side length .)
Want a route through all this instead of an archive? The track
puts 2,444 problems in a working order, from Junior Challenge level to the IMO shortlist.