Number of squares that can be formed in 8 × 8 chessboard, so that each square is surrounded by four squares of same dimension -

Question

Number of squares that can be formed in 8 × 8 chessboard, so that each square is surrounded by four squares of same dimension - (A) 36 (B) 42 (C) 45 (D) 48

Tardigrade Admin · Accepted Answer

Case - I: Square of 1 × 1 dimension = 6 × 6 = 36

Case - II: Square of 2 × 2 dimension = 3 × 3 = 9

No other possibility is their Hence total squares = 36 + 9 = 45

Q. Number of squares that can be formed in $8 \times 8$ chessboard, so that each square is surrounded by four squares of same dimension -

36

42

45

48

Case - I : Square of $1 \times 1$ dimension $= 6 \times 6 = 36$

Case - II : Square of $2 \times 2$ dimension $= 3 \times 3 = 9$

No other possibility is their
Hence total squares $= 36 + 9 = 45$

Q. Number of squares that can be formed in 8×8 chessboard, so that each square is surrounded by four squares of same dimension -

36

42

45

48

Case - I : Square of 1×1 dimension =6×6=36 Case - II : Square of 2×2 dimension =3×3=9 No other possibility is their Hence total squares =36+9=45

Q. Number of squares that can be formed in $8 \times 8$ chessboard, so that each square is surrounded by four squares of same dimension -

Case - I : Square of $1 \times 1$ dimension $= 6 \times 6 = 36$

Case - II : Square of $2 \times 2$ dimension $= 3 \times 3 = 9$

No other possibility is their
Hence total squares $= 36 + 9 = 45$