Answer :
The approximate side length of the square game board is about 12.57 inches.
To find the side length of a square game board with an area of 159 square inches, we can use the formula for the area of a square, which is given by:
[tex]A = s^2[/tex]
where [tex]A[/tex] is the area and [tex]s[/tex] is the side length.
Given that [tex]A = 159 \text{ in}^2[/tex], we can rearrange the equation to solve for [tex]s[/tex]:
[tex]s = \sqrt{A} = \sqrt{159}[/tex]
To calculate [tex]\sqrt{159}[/tex]:
[tex]\sqrt{159} \approx 12.57 \text{ in}[/tex]