9/31/171st Hour Checkerboard Squares Case Study

479 Words1 Page

Page 1 of 2 ZOOM 10/31/171st Hour Checkerboard Squares (25)Problem Statement - There is a standard 8-by-8 checkerboard make up of 64 small squares, these squares can be combined to form squares of other sizes within the checkerboard. How many squares of various sizes are on an 8-by-8 checkerboard altogether and suppose you have a checkerboard of some other size, how can you determine how many squares are on it altogether?Process - What I did in order to solve this is that first I wanted to see how much squares were in a 1-by-1, 2-by-2, 3-by-3, 4-by-4, 5-by-5, 6-by-6, 7-by-7, and 8-by-8. Well first I know that there are 64 squares and a 1-by-1 is just one square so 1-by-1 had 64 squares all together. For 1-by-1, I didn’t find how many vertical and horizontal positions there were because I knew 1-by-1 meant 1 square, and there were 64 squares so I know there had to be 64 squares.For 2-by-2, what I did was to see how much positions there could be. Example, there are 7 horizontal positions and 7 vertical positions so I just multiplied them and got 49 squares. I did the same for 3-by-3, I counted the horizontal and vertical positions and got 6! Then I did 6x6 and got 36. For 4-by-4 I got 5 vertical and horizontal positions, I multiplied them together and got 25. For 5-by-5 I got 4 horizontal and vertical positions, then multiplied them and got 16. For 6-by-6 I got 3 vertical and horizontal positions and multiplied them and got 9. For 7-by-7, I got 2 vertical and horizontal positions and once I multiplied them I got 4. For these I counted how many horizontal and vertical positions there are instead of just counting each square because it was easier to …show more content…

You had to multiply the horizontal and vertical positions. My percent grade would be 83%.Problem

More about 9/31/171st Hour Checkerboard Squares Case Study

Open Document