find the area. simplify your answer.

Explanation:

Step1: Recall area formula

The area formula for a square is $A = s^2$, where $s$ is the side - length. Here $s = 2x$.

Step2: Substitute side - length into formula

$A=(2x)^2$.

Step3: Simplify the expression

$(2x)^2=2^2\times x^2 = 4x^2$.

Answer:

$4x^2$