Question

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

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

Answer 1

The Correct Option is D

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