We have given,
The area of one square on a chess board = 4 sq cm
Since, there are 64 squares on a chess board.
∴ Area of the chess board = 64 × 4 sq cm = 256 sq cm
(a) At the beginning of game when all the chess men are put on the board, 32 squares left unoccupied.
Area of the squares left unoccupied
= 32 × area of one square
= 32 × 4 sq cm = 128 sq cm
(b) Since, 32 squares are occupied by chess men.
∴ Area of the squares occupied by chess men = 32 × (area of one square)
= 32 × 4 sq cm = 128 sq cm .