MathDB

The

8 \times 8

board is covered with the same shape as in the picture to the right (each of the shapes can be rotated

90^o

) so that any two do not overlap or extend beyond the edge of the chessboard. Determine the largest possible number of fields of this chessboard can be covered as described above. https://cdn.artofproblemsolving.com/attachments/e/5/d7f44f37857eb115edad5ea26400cdca04e107.png

Problem Statement