# How many squares would there be in total on chess board

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If you were to construct a 8 x 8 checkered square (i.e., a 8 x 8 chess board).

How many squares would there be in total?

SherlockHolmes Expert Asked on 18th March 2016 in

204.
it is       8 squared+ 7 squared+ 6 squared+………..+1

GeNiUs Genius Answered on 19th March 2016.

Let’s generalize a formula for mxn chess board( given n<m).

So total no. of elements in the chess board would be squares.
So, m*n.
Then we will select 2*2 squares, which will be (m-1)*(n-1).
.
.
.
On further repeating , we will get that:
Total no. of squares= Σ(i=0 to i=n-1) (m-i)*(n-i)

pandabouy Guru Answered on 23rd May 2016.

There are 64 squares of 1×1
There are 49 squares of 2×2
There are 36 squares of 3×3
There are 25 squares of 4×4
There are 16 squares of 5×5
There are 09 squares of 6×6
There are 04 squares of 7×7
There is     01 square   of 8×8
Total =204 squares

Moshe Expert Answered on 6th November 2022.

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