Geometry Level 1

Jim has a very big house.

It has \(5\) bedrooms, \(5\) bathrooms, \(2\) laundry rooms, \(2\) offices, \(5\) garages, a huge theater room, a living room, a dining room, and \(2\) kitchens -- amounting for a total of \(20\) rooms.

Assume all rooms are perfectly square shaped (even the garage), and are not necessarily the same size, is it possible for Jim to have a house in the shape of a square?

  • Jim has only a single storied house.
  • It is okay to place the garages in the interior

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