To find the perimeter of the checkers board, we need to determine the length of each side and add them up.
Since the board is 8 squares long and 8 squares wide, the length and width of the board are both 8 squares.
To find the length of each side in centimeters, we need to multiply the number of squares by the area of each square:
8 squares x 14 square centimeters = 112 square centimeters
Now, to find the length of each side, we need to take the square root of the area:
√112 square centimeters ≈ 10.6 centimeters
Since the checkers board has equal sides, the perimeter is the sum of all four sides:
Perimeter ≈ 10.6 cm + 10.6 cm + 10.6 cm + 10.6 cm = 42.4 centimeters
Therefore, the estimated perimeter of the checkers board to the nearest tenth of a centimeter is 42.4 centimeters.