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BEBRAS 2023 Grade 9-10 Round 2 Ext Question 7

BEBRAS · BEBRAS 2023 Grade 9-10 Round 2 Ext

Question 7

A beaver has the four tiles below, each made of unit squares of area 1.

Question illustration

It wants to place them without overlap in a rectangular box. What is the smallest possible area of the base?

Editorial packing convention: align the tiles with the unit-square grid; rotations by 90° are allowed.
  1. 36
  2. 40
  3. 45
  4. 39