Given,
[tex]\Delta CDE\approx\Delta\text{FGE}[/tex]
The ratio of corresponding sides of similar triangles are equal.
Hence,
[tex]\begin{gathered} \frac{FE}{CE}=\frac{GE}{DE} \\ \frac{x}{27}=\frac{40}{25} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{40}{25}\times27 \\ =43.2 \end{gathered}[/tex]
Therefore, the value of x is 43.2.
