Answer: The correct option is
(C) 24.
Step-by-step explanation: Given that the two parallelograms in the figure are similar.
We are to find the value of x.
The pairs of the lengths of corresponding sides of the two parallelograms are (9, 27) and (8, x).
We know that
the corresponding sides of two similar figures are proportional, so we must have
![(9)/(27)=(8)/(x)\\\\\\\Rightarrow (1)/(3)=(8)/(x)\\\\ \Rightarrow x=8*3\\\\\Rightarrow x=24.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rrofi72xf5eug4djvx58j4a88nhpa4t5zf.png)
Thus, the required value of x is 24.
Option (C) is CORRECT.