Question

the polygons are similar. find the value of $x$.
$x=\square$

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{GH}{LM} = \frac{4}{6} = \frac{2}{3}$

Step2: Set up proportion for $x$

$\frac{KJ}{PN} = \frac{2}{3} \implies \frac{8}{x} = \frac{2}{3}$

Step3: Solve for $x$

$x = 8 \times \frac{3}{2} = 12$

Answer:

12