Question

Find the number of rectangles formed on a chessboard:

• A. 1296
• B. 1452
• C. 1528
• D. 1614

Answer 1

Answer: (A)

1296

In a chess board there are 8 columns and 8 rows.
Hence the number of rectangles
$=1^3+2^3+3^3+....+8^3$
$={\left(\frac{8\times 9}{2}\right)}^2=1296$