Question

VWXY is a rhombus. Find each XY.

6m - 12
(9n+4)
W
N
4m + 4
(312 - 0.75)
Х

Answer 1

Option D.

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.