The rectangular floor of a bathroom is covered with square tiles (all of the same size). A spider starts at one corner of the bathroom, and walks to the corner diagonally opposite. For a 2023 x 2024 bathroom, how many tiles does the spider touch on its walk? A spider doesn’t touch a tile if it only walks over the corner.
Come to Math Club after school on Wednesday in room 2312 to discuss this problem!
This problem also appears in our January 2024 print edition.