304

Part of 1981 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 304 All Soviet Union MO 1981 rotating 45^o 1 of 2 same chessboards, area

Source:

Two equal chess-boards (

8\times 8

) have the same centre, but one is rotated by

45

degrees with respect to another. Find the total area of black fields intersection, if the fields have unit length sides.

areasgeometryChessboard