The number of rectangles that you can find on a chessboard is
- 1764
- 1600
- 1825
- 1296
The Correct Option is D
Solution and Explanation
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
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