Shrinking Squares?

  • Square ABCD is divided and shaded as shown above. The red square is one-fourth the area of square ABCD. If the pattern continued forever and ever, approximately what percentage of the original square would be shaded?

Answer:    
  Please enter a numerical answer
(ex. 1000 or 2.033) and click GO.		    

Contest problems and answers provided by:

David Rock
rock_david@colstate.edu
Columbus State University

Doug Brumbaugh
brumbad@pegasus.cc.ucf.edu
University of Central Florida