MathDB

2011.C4

Part of Durer Math Competition CD 1st Round - geometry

Problems(1)

fair grid points in 2010 x 1340 rectangle 2010-11 Dürer Round1 C4

Source:

12/2/2022
Given a grid rectangle of size 2010×13402010 \times 1340. A grid point is called fair if the 22 axis-parallel lines passing through it from the upper left and lower right corners of the large rectangle cut out a rectangle of equal area (such a point is shown in the figure). How many fair grid points lie inside the rectangle? https://cdn.artofproblemsolving.com/attachments/1/b/21d4fb47c94b774994ac1c3aae7690bb98c7ae.png
geometryareasDurer