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March 2015 Puzzle

The first 4 members of a sequence of shapes are shown below.  The first shape is a square with each side having a length of 1 unit.  Each successive shape is obtained from the previous one by appending a square to the middle-third of every edge of the previous shape (as shown in the figure below). 

Determine the area and perimeter of the 5th shape in this sequence.  Express your answers as fractions in lowest terms. Note:  every edge bordering a white and black region contributes to the perimeter.


March Solutions are Due by March 27


Last update: Sunday, February 22, 2015 at 3:19:45 PM
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