Solution #57: Tower of Squares

PA has the area of 5 squares below it, and PB has the area of 3 squares below it. Thus the area of /\PAB is equal to the area of 2 squares. We have to choose Q so that AQ:QB as 1:3 to get a line with the area of 4.5 squares below it. 
         +--+
         |  |
      +--+--+--+A
      |  |  |  +Q
   +--+--+--+--+B-+
   |  |  |  |  |  |
   P--+--+--+--+--+
Source: Mathematics Teacher
Categories: Geometry and Space
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