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a line intersecting a square lattice

Source: 2021 Dürer Math Competition Finals Day2 E3 https://artofproblemsolving.com/community/c2749870_

January 9, 2022
areasgeometry

Problem Statement

The figure shows a line intersecting a square lattice. The area of some arising quadrilaterals are also indicated. What is the area of the region with the question mark? https://cdn.artofproblemsolving.com/attachments/0/d/4d5741a63d052e3f6971f87e60ca7df7302fb0.png