Problem Statement:
There’s a standard 8 x 8 checkerboard made up by 64 small squares. Each square is able to combine with others squares to make other squares of different sizes. Our job is to find out how many squares there’s in total. Once you get all the number of squares get all the number of squares and feel confident with your answer you next explain how to find the number of squares on any size checkerboard. You will know you have the answer when no matter how what size board you have you can give a clear description of to easily compute the total number of squares. So basically what you’re doing is finding the total number of squares in a 8 x 8 checkerboard and pretty much finding an equation on how to find the total number of squares on any size board.
Process:
Alright so how do you find this answer? It’s not as hard as you think it is. Although it is kind of tricky on how to get the answer. What my first concern was, “This is going to take forever. I’m never going to get done.” I honestly thought I was going to get the wrong answer. So my first method was counting all the squares. I knew this was going to take forever. Then I literally was so close to giving up until I looked at the problem closely. I remembered that length times with helps you get the area. So, then I looked at the squares. I started counting the top squares and the side squares. Then I did length times width.
2 x 2
2 x 2 = 7 squares.
7 x 7 = 49 Squares. So as you can see this is basically the method that led me to my solution. In my example what I did was count all the 2 x 2 squares on the top and side. Then I multiplied them and the