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Square & Rectangle

How many squares and rectangles are there in an \(n\times n\) grid?

Note by Shithil Islam
1 year ago

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I am not fully sure but according to my calculations they are respectively equal to the sum of first \(n\) squares and the sum of first \(n\) cubes. Or we can say that there are \(\frac{n(n+1)(2n+1)}{6}\) squares and \((\frac{(n)(n+1)}{2})^2\) rectangles in an \(n*n\) grid.

Yatin Khanna - 1 year ago

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