Answer:
Step-by-step explanation:
The area of a square can be found with the formula [tex]A = s^{2}[/tex], where [tex]s[/tex] is the length of any side of the square.
Since we know [tex]A = 64[/tex] and [tex]s = 4x[/tex], we can plug in those values to solve for [tex]x[/tex]:
[tex]A = s^{2}[/tex]
[tex]64 = (4x)^{2}[/tex]
[tex]64 = 16x^{2}[/tex]
Dividing by [tex]16[/tex] from both sides will isolate [tex]x^{2}[/tex] to one side by itself:
[tex]x^{2} = 4[/tex]
Taking the square root of each side will give us the value of [tex]x[/tex]:
[tex]x = 2[/tex]
