rectangle-shaped puzzle is assembled with 2000 equal rectangle pieces
Source: Argentina 1999 OMA L3 p5
May 13, 2024
geometryrectanglecombinatoricscombinatorial geometry
Problem Statement
A rectangle-shaped puzzle is assembled with pieces that are all equal rectangles, and similar to the large rectangle, so that the sides of the small rectangles are parallel to those of the large one. The shortest side of each piece measures . Determine what is the minimum possible value of the area of the large rectangle.