Question

The number of rectangles that you can find on a chessboard is

• A. 1764
• B. 1600
• C. 1825
• D. 1296

Answer 1

Answer: (D)

1296

Answer 2

The correct option is (D): 1296
Explanation: Total number of squares in a chessboard= ∑_1^n$$(n)^2
and total number of rectangles in chessboard=$C_2^{n+1} \times C_2^{n+1}$
So, number of rectangles = C_2^{9} \times C_2^{9}$$=36\times36=1296
$\therefore$ Total no. of rectangles in the chess board= 1296