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Can you help me explain the formula when referring to finding the amount of rectangles in an nxn grid?
Student20634
So here is some more information.
I am working on a project where I had to find the amount of different rectangles found in a 4x4 grid. The second part being how to find a solution for nxn grid
After a lot of pattern searching and working on some smaller grids I know that there are the following options
1x1 =1rectangle
2x2 =9rectangles
3x3 =36rectanges
and finally 4x4 which had 100 rectangles in it
I know the formula is n(n+1)/2 then sxs where s is the solution. My problem is I cant seem to figure out why you have to divide by the 2 or add the one , ect. I know it has something to do with the amount of axis ( at least I think). My question would be can anyone help walk me through this formula to make sure I am on the right track?
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∙ 12y ago
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