Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.
Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:
[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]
