A \(4\) by \(4\) square grid contains \(16\) unit squares and, with gridlines for edges, a total of \(35\) landscape rectangles (i.e. a rectangle whose width is greater than its height).
Five of these \(35\) rectangles are shown above.
A \(45\) by \(45\) square grid contains \(2025\) unit squares.
With gridlines for edges, how many landscape rectangles does it contain?
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