5 Squares

Geometry Level 1

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The above is one possible way to arrange 5 unit squares into a polygon, and this polygon has a perimeter of 12. What is the minimum possible perimeter of a polygon that can be constructed with 5 unit squares?

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Details and Assumptions:

  • No overlapping is allowed.
  • A vertex can only touch a vertex--not anywhere on the side--of other squares.
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