Okay so I have to find how many total squares are in an 8 by 8 checkerboard. I have a roman letter thing that kinda looks like a capitol 'e' but without the middel line. On the bottom I have N=1 on the side of it i have N^2 and 8 on the top. Can anyone tell me how I use this to find how many total squares are in the 8 by 8 checkerboard.

Question

Okay so I have to find how many total squares are in an 8 by 8 checkerboard. I have a roman letter thing that kinda looks like a capitol 'e' but without the middel line. On the bottom I have N=1 on the side of it i have N^2 and 8 on the top. Can anyone tell me how I use this to find how many total squares are in the 8 by 8 checkerboard.

Thanks a bunch

Answer 1

To find the total number of squares in an 8 by 8 checkerboard using the given formula, you can follow these steps:

Step 1: Write down the formula: N^2 + N + 1.

Step 2: Replace N with the number 8 since we have an 8 by 8 checkerboard.

Step 3: Calculate the value of N^2: 8^2 = 64.

Step 4: Substitute the values into the formula: 64 + 8 + 1.

Step 5: Perform the addition: 64 + 8 + 1 = 73.

So, there are 73 total squares in an 8 by 8 checkerboard.