Respuesta :

absor201

Answer:

  • [tex]m=8[/tex]
  • The length of VW = 36 units.

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

  • The length of VW= 6m-12
  • The length of WX = 4m+4

As all the four sides of the rhombus have equal length.

So we can observe

[tex]VW=WX[/tex]

[tex]6m-12 = 4m+4[/tex]

Add 12 to both sides

[tex]6m-12+12=4m+4+12[/tex]

[tex]6m=4m+16[/tex]

[tex]2m=16[/tex]

Divide both sides by 2

[tex]\frac{2m}{2}=\frac{16}{2}[/tex]

[tex]m=8[/tex]

so

The length of VW= 6m-12

                             = 6(8)-12  ∵ [tex]m=8[/tex]

                              = 48-12

                              = 36

Thereofore, the length of VW = 36 units.