How many squares are there on a chessboard? (Hint: The answer is not 64)
The chessboard is made up of 8×8 squares. We have to determine how many squares of any dimension from 1×1 to 8×8 there are on a chess board.
The key is to determine how many possible positions there are for each type of square. A 2×2 square, for example, can be located in 7 locations horizontally and 7 locations vertically. eg. in 49 different positions.
|size||horizontal positions||vertical positions||squares|
In total there are 204 positions. this is the sum of the number of possible positions for all the different sized squares.