these shapes are similar. find x.

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{2}{4}=\frac{x}{12}$.

Step2: Cross - multiply

$4x = 2\times12$.

Step3: Simplify right - hand side

$4x=24$.

Step4: Solve for x

$x = \frac{24}{4}=6$.

Answer:

6