419

Part of 1986 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 419 All Soviet Union MO 1986 intersecting equal squares

Source:

Two equal squares, one with red sides, another with blue ones, give an octagon in intersection. Prove that the sum of red octagon sides lengths is equal to the sum of blue octagon sides lengths.

SquaresoctagonSumperimetergeometry