Answer:
B. LN = 9, MP= 9
Explanation:
If LMNP is a rectangle, its diagonals are LN and MP.
In a rectangle, the lengths of the diagonals are equal, therefore:
[tex]\begin{gathered} LN=MP \\ x=2x-9 \\ x-2x=-9 \\ -x=-9 \\ \implies x=9 \end{gathered}[/tex]Therefore, LN = 9 and MP= 9.
The correct choice is B.