Question

How many squares are there in a standard chess board?
How many rectangles are there in a standard chess board?​

Answer 1

Answer:

$\huge \boxed{ \boxed{ \boxed{8 \times 8 = 64}}}$

$\huge \red{there} \: \blue{are} \: \green{64}$

$\huge \purple{squares \: in \: a}$

please mark as brainliest,follow me

$\huge\pink{chess \: board}$

Answer 2

Answer:

There are 204 squares in a standard chess board.

There are 1092 rectangles in a standard chess board.

Step by step explaination:

Squares:

Formula: Number of squares in a n*n Chessboard: 12 +22 +....+ n2 or [n*(n+1)*(2n+1)]/6

In a 2*2 chessboard, there are 5 squares (4 small squares, 1 big square)

=> 12 +22 = 5

So in a 8*8 chessboard, n=8

=> No. of squares = 12 + 22 + 32+.....+ 82

= [n*(n+1)*(2n+1)]/6 (summation formula)

= 204

Rectangles:

For an n*n chessboard, there are 13 + 23 + 33+.....+ n3 rectangles.

So for an 8*8 chessboard, there are, rectangles = 13 + 23+....+ 83

=> no. of rectangles = [{n2}*{(n+1)2}]/4

n=8, we get no. of rectangles = 1296

**No. of rectangles that are not squares in an 8*8 chessboard

=> 1296 - 204

= 1092

I hope that it will help u