Question 919133
Definition: Rhombus is a quadrilateral with all four sides equal in length.

given:
Rhombus {{{WXYZ}}}
sides:
{{{WZ= 3x+5}}}............1
{{{WX= 5x-1}}}.............2
{{{XY= 2y+4}}} ............3

    
{{{WZ=WX}}} =>

{{{3x+5=5x-1}}} solve for {{{x}}}

{{{1+5=5x-3x}}}

{{{6=2x}}}

{{{6/2=x}}}

{{{x=3}}} 

{{{WX=XY}}} =>

{{{5x-1=2y+4}}}............plug {{{x=3}}} in and solve for {{{y}}}

{{{5*3-1=2y+4}}}

{{{15-1=2y+4}}}

{{{14=2y+4}}}

{{{14-4=2y}}}

{{{10=2y}}}

{{{10/2=y}}}

{{{y=5}}}

now find sides:

{{{WZ= 3x+5}}}...........plug in {{{x=3}}}  
{{{WZ= 3*3+5}}}
{{{WZ= 14}}}

{{{WX= 5x-1}}}...........plug in {{{x=3}}}
{{{WX= 5*3-1}}}
{{{WX= 15-1}}} 
{{{WX= 14}}}

{{{XY= 2y+4}}} .......plug in  {{{y=5}}}
{{{XY= 2*5+4}}}
{{{XY= 10+4}}}
{{{XY= 14}}}