Grades 1-2 Video Solutions 2025-2025_1-2

Video Transcription

Problem number 10. A floor is covered in square tiles. There are four rectangular mats on the floor. In total, how many tiles have three mats on top of them?  The first thing we can do is notice that the light blue mats are partially covered by the other two mats. We can extend the sides as follows, and now we can see the  borders of the light blue mats. Notice that the bottom right corner of the light blue mat is the only one that can be covered by three mats. Similarly, the  top right corner of the bottom light blue mat is also covered by three mats, and in particular, these corners are the only possible locations where three mats  intersect. We can count these locations as follows. One, two, three, four. It's clear to see that these four locations have exactly three mats on top of them,  and that no other locations in the picture have three mats on top of them. That means the answer is E, four.

Video Summary

The problem involves a floor covered in square tiles with four overlapping rectangular mats. The task is to determine how many tiles have three mats on them. By examining the overlaps, it is observed that only specific corners of the light blue mats—where all possible intersections occur—are covered by three mats. After counting these potential intersections, it is found that four tiles are covered by three mats. Thus, the answer is four.

Keywords

square tiles

rectangular mats

overlapping

three mats

intersections