f the rectangles given below are similar, then x = ____.

In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
rectangle diagram
Step 02:
geometry:
similar figures:
[tex]\begin{gathered} \frac{3}{x+11}=\frac{5}{25} \\ \\ 3*25\text{ = 5 * \lparen x +11\rparen} \\ \\ 75\text{ = 5x + 55} \\ \\ 75\text{ - 55 = 5x} \\ \\ 20\text{ = 5x} \\ \\ \frac{20}{5}\text{ = x} \\ \\ 4\text{ = x} \end{gathered}[/tex]The answer is:
x = 4