CAYLEY 2022 Problem 19

The area of the triangular region bounded by the x- axis, the y- axis and the line with equation y=2 x-6 is one-quarter of the area of the triangular region bounded by the $x-$axis, the line with equation y=2 x-6 and the line with equation x=d, where d>0. What is the value of d ?

Answer Choices
A. 9
B. 6
C. 8
D. 3+3 \sqrt{2}
E. 15