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.
![P=(2x)+(3x-1)+(5x+4)_{}](https://img.qammunity.org/2023/formulas/mathematics/college/8zt1yjv7h6vppqm735xa6m3so3jvmgcm6b.png)
Simplify the equation
![\begin{gathered} P=2x+3x-1+5x+4 \\ P=2x+3x+5x-1+4 \\ P=10x-1+4 \\ P=10x+3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qx81sjb7kzqja9ssntirpaskxrajch3khn.png)
Therefore, the perimeter of the given figure is
![P=10x+3](https://img.qammunity.org/2023/formulas/mathematics/college/zdfhym7n7mts9gosjtg1j0bjjibd7g5uay.png)
Option C is the correct answer.