Question 475186:  A checkered flag used for racing is a square flag containing 64 alternating white and black squares. How many squares on the checkered flag contain an equal number of white and black squares?  
 Answer by richard1234(7193)      (Show Source): 
You can  put this solution on YOUR website! Any k-by-k square where k is even. This is because we can divide up the k by k square into 2x2 squares, and if k is odd, this cannot possibly be done. Hence, find the number of 2x2, 4x4, 6x6, and 8x8 squares contained within the 8x8 square and add them (there should be a pattern). 
  | 
 
  
 
 |   
 
 |