Question

Hi, I am in need of some help with this question

Answer 1

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.

`(x)/(6)=(3)/(2)`

From this expression, you can determine the value of x, multiply both sides by 6

`\begin{gathered} 6\cdot(x)/(6)=6\cdot(3)/(2) \\ x=9 \end{gathered}`

The value of x is 9 units. The correct option is D.