Answer:
Option D.
Step-by-step explanation:
It is given that VWXY is a rhombus, VW = 6m-12 and WX = 4m+4.
We know that all sides of a rhombus are equal. So,
[tex]VW=WX[/tex]
[tex]6m-12=4m+4[/tex]
Isolating the m on left side, we get
[tex]6m-4m=12+4[/tex]
[tex]2m=16[/tex]
Dividing both sides by 2, we get
[tex]m=8[/tex]
The value of m is 8. So, each side of the rhombus is
[tex]XY=VW=6(8)-12[/tex]
[tex]XY=48-12[/tex]
[tex]XY=36[/tex]
Therefore, the correct option is D.
