We are given a figure and asked to find the perimeter.
Recall that the perimeter of a figure is the sum of all of its lengths.
Since we are given the lenghts of the sides of the figure, let us add them together to find the perimeter.
[tex]P=(2x)+(3x-1)+(5x+4)_{}[/tex]
Simplify the equation
[tex]\begin{gathered} P=2x+3x-1+5x+4 \\ P=2x+3x+5x-1+4 \\ P=10x-1+4 \\ P=10x+3 \end{gathered}[/tex]
Therefore, the perimeter of the given figure is
[tex]P=10x+3[/tex]
Option C is the correct answer.
