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How many squares can be inscribed on a 10×10 grid of dots assuming that the squares may take any orientation?
To re-iterate: the grid of dots is 10 dots by 10. They are equally spaced and the squares formed can be any size and any orientation.
Perhaps the arrangement of dots would better be described as a "matrix".
1 Answer
- Anonymous6 years ago
The first answer is wrong in many ways.
First of all, a 10x10 grid of dots spaced 1 unit apart occupies 9x9 = 81 square units. So there are only 81 1x1 squares.
The 1x2 and 1x3 would be rectangles that are not squares.Maybe that was supposed to be 2x2 etc.
Lastly, you say ANY orientation. There are squares that are tilted, as in the diagram below.
