How many squares, of any size, can you find on this chessboard that do not contain a rook?

Puzzle Copyright © Kevin Stone

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Hint

The largest square is 4x4 small squares.

Answer

There are 110 squares without a rook.

Reasoning

There are 60 squares of size 1x1.

There are 35 squares of size 2x2.

There are 12 squares of size 3x3.

There are 3 squares of size 4x4.

A total of 60 + 35 + 12 + 3 = 110.

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