MathDB

P21

Part of 2016 Sharygin Geometry Olympiad

Problems(1)

rectangles with equal areas, each covers other by two copies

Source: Sharygin Geometry Olympiad 2016 First Round P21 grades 10-11

7/25/2018
The areas of rectangles PP and QQ are equal, but the diagonal of PP is greater. Rectangle QQ can be covered by two copies of PP. Prove that PP can be covered by two copies of QQ.
geometryrectangle