PASCAL 2024 Problem 19

In the diagram, \triangle A B C has A B=B C=3 x+4 and A C=2 x and rectangle D E F G has E F=2 x-2 and F G=3 x-1.
pascal 2024 19
The perimeter of \triangle A B C is equal to the perimeter of rectangle D E F G. What is the area of \triangle A B C ?

Answer Choices
A. 84
B. 87.5
C. 168
D. 175
E. 336