Grades 7-8 Video Solutions 2022-2022_7-8

Video Transcription

Video Summary

The smallest number of cells that need to be colored in a 5x5 grid to ensure every 1x4 or 4x1 rectangle within it contains at least one colored cell is six. By strategically coloring cells in certain columns and rows, you can guarantee coverage for any 1x4 or 4x1 rectangle. Attempting to color only five cells allows for the possibility of missing coverage for some rectangles. Therefore, having six colored cells is the minimal and effective solution to cover all possible 1x4 or 4x1 rectangles.

Keywords

5x5 grid

1x4 rectangle

4x1 rectangle

colored cells

minimal coverage