If both polygons are similar, then the corresponding sides must be at the same ratio.
In this case, the corresponding sides are:
If the corresponding sides are at the same ratio, it means that the quotient between them is equal, you can write it as follows:
- Divide the length of the side of the right polygon by the length of the corresponding side of the left polygon.
[tex]\frac{x}{6}=\frac{3}{2}[/tex]
From this expression, you can determine the value of x, multiply both sides by 6
[tex]\begin{gathered} 6\cdot\frac{x}{6}=6\cdot\frac{3}{2} \\ x=9 \end{gathered}[/tex]
The value of x is 9 units. The correct option is D.
