The image is of a large unit square with five smaller disjoint shaded squares contained entirely within it. The five smaller squares are congruent. Four of them are at each corner of the large square. The fifth is in the center, rotated diagonally, so the center of each of its sides is touched by the vertex from one of the other four squares. You are given that the common length for the five smaller congruent squares is (a-sqrt(2)) / b, where a and b are positive integers. What is the value of a + b?

  • siriusmart@lemmy.worldM
    2·
    6 months ago

    hey would u like to create an index post? its just so that everything can be accessed within a few clicks from the listing post

    u can follow the format

    # Index of XXX

|Date|Post|Difficulty|
|---|---|---|
|2024/04/28| [Sum to infinity is -1/12](https://lemmy.world/post/14877972)|7/10|
...

    its entirely optional and its up to u

    • zkfcfbzr@lemmy.worldOPEnglish
      2·
      6 months ago

      I’ve got 3 or 4 other problems in mind that I might post at some point - I’ll make an index post with problem #2. Wanna keep them spaced out since I don’t have too many.