area chasing inside a parallelogram
Source: 2019 Dürer Math Competition Finals Day2 E7 E+6 https://artofproblemsolving.com/community/c1621835_2019_
January 6, 2022
geometryareasparallelogram
Problem Statement
We choose a point on each side of a parallelogram , let these four points be and . Then we divide the parallelogram into several regions using line segments as shown in the figure. The areas of the grey regions are given, except for one (see the figure). Find the area of the region marked with a question mark.
https://cdn.artofproblemsolving.com/attachments/4/7/dbd009042dabdb2eafc8fc74960e9011038dae.png