olymmath

Putnam 1996 A1

  • Session A

Find the least number AA such that for any two squares of combined area 1, a rectangle of area AA exists such that the two squares can be packed in the rectangle (without interior overlap). You may assume that the sides of the squares are parallel to the sides of the rectangle.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava and Kiran Kedlaya

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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