Question:

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

Updated On: Oct 1, 2024
  • 1764
  • 1600
  • 1825
  • 1296
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

The correct option is (D): 1296
Explanation: Total number of squares in a chessboard= 1n∑_1^n(n)2(n)^2
and total number of rectangles in chessboard=C2n+1×C2n+1C_2^{n+1} \times C_2^{n+1}
So, number of rectangles = C29×C29C_2^{9} \times C_2^{9}=36×36=1296=36\times36=1296
\therefore  Total no. of rectangles in the chess board= 1296

Was this answer helpful?
0
0

Top Questions on Geometry

View More Questions

Questions Asked in MAT exam

View More Questions