SOLUTION: A square checkerboard is made up of 36 alternately colored 1 inch by inch squares. What is the total number of squares that are visible on this checkerboard.(hint: count the 6 by
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Question 401351: A square checkerboard is made up of 36 alternately colored 1 inch by inch squares. What is the total number of squares that are visible on this checkerboard.(hint: count the 6 by 6 squares, then the 5 by 5 squares, and so on.) How many are visible on a checkerboard that has 64 alternately colored 1 inch by 1 inch squares?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
On the 6x6 checkerboard, there is 1 6x6 square, 4 5x5 squares, 9 4x4 squares, ..., 36 1x1 squares. Therefore the number of total squares is
(applying the sum of squares formula)
Likewise, with the 8x8 checkerboard, the total number of squares is
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