SOLUTION: 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 bla

Algebra ->  Polygons -> SOLUTION: 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 bla      Log On


   



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) About Me  (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).