Question 52
Two dissections of a square into three rectangles are considered essentially different if one cannot be switched to the other by simple rearrangement of the pieces.
How many essentially different dissections of the $2010 \times 2010$ square into three rectangles with integer side lengths exist such that the area of one rectangle is equal to the arithmetic mean of the areas of the other two?
G. Baron, Vienna
How many essentially different dissections of the $2010 \times 2010$ square into three rectangles with integer side lengths exist such that the area of one rectangle is equal to the arithmetic mean of the areas of the other two?
G. Baron, Vienna