# Stacking rectangles

**Discrete Mathematics**Level 3

Given a 100 by 100 square grid, what is the largest number of 1 by 51 rectangles that we can cut out of it?

**Details and assumptions**

Clarification: The rectangles are cut directly out of the grid, so you may not 'reuse' the unit squares. You may not 'glue' or 'paste' the unit squares together after cutting.