The rectangles in the figure below are similar. Find the value of x

Answer:
C. 6
Step-by-step explanation:
It is given that the rectangles in the figure are similar.
Thus, the corresponding sides of the two rectangles will be equal.
So, we get,
[tex]\frac{3}{x}=\frac{5}{x+4}[/tex]
i.e. [tex]3(x+4)=5x[/tex]
i.e. [tex]3x+12=5x[/tex]
i.e. [tex]2x=12[/tex]
i.e. x = 6.
Hence, the value of x is 6.