What is the perimeter of a standard chess board in centimeters?

Answer 1

A Chess board has 64 squares - but if you look closely, you can make another square out of every 2x2 (49), 3x3 (49) 4x4 (25) 5x5 (16) 6x6 (9) 7x7 (4) and finally one 8x8 square - so 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares.

If we assume "rectangles" are all other rectangles that are not also squares (it could be argued that a rectangle is a square - in which case you add 204 to the number I compute here), then you can see a whole bunch more.

It helps to know that 1 + 2 + 3 + ... + n = n x (n+1) / 2 (speeds up the math)

1 square tall:

2 x 1: 7 per row times 8 rows = 56

3 x 1: 6 per row ... = 48

for a total of (7+6+5+4+3+2+1) x 8 (rows) = 8 x 8 x 7 / 2 = 224

2 squares tall:

(7 + 6 + ...) x 7 x 2 = 8 x 7 x 7 / 2

You can see that if we keep going we get

8 x (8 + 7 + 6 + ... + 1) x 7 / 2 = 8 x ( 8 x (8 + 1 ) / 2 ) x 7 / 2 = 2 x 8 x 9 x 7

total number of rectangles = 1008

So the answer is 204 squares and 1008 (non-square) rectangles, or 204 squares and 1212 "rectangles" (including squares).

Answer 2

if a chess square is between 50mm and 65mm in size then a chessboard would be between 40 cm and 52 cm. multiply this by 4 to get the perimeter, and you have a chessboard of between 160 cm and 208 cm in perimeter.

Answer 3

See the relevant link below on the rules for chess equipment as established by the World Chess Federation (FIDE : Federation Internationale des Echecs) .

Answer 4

The perimeter defines one large square, it is the field of the board that has many squares.

Answer 5

the perimeter of a chess board is 361cm