Answer: 5 in.
Step-by-step explanation:
Given
The area of the square is [tex]75\ in.^2[/tex]
The side length of the square is [tex]a\sqrt{3}[/tex]
Area of square[tex]=(\text{length})^2[/tex]
[tex]\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.[/tex]
Thus, value of a is 5 inch
