Question

VWXY is a rhombus. Find each XY.

Answer 1

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,

$VW=WX$

$6m-12=4m+4$

Isolating the m on left side, we get

$6m-4m=12+4$

$2m=16$

Dividing both sides by 2, we get

$m=8$

The value of m is 8. So, each side of the rhombus is

$XY=VW=6(8)-12$

$XY=48-12$

$XY=36$

Therefore, the correct option is D.