Question 925247
Rhombus is a parallelogram with {{{4}}} {{{equal}}} sides.
Parallelogram has opposite sides parallel. 


if a rhombus has sides which are: 

{{{x-y}}}, {{{2x+y+1}}} and {{{(3x-y-2)/2}}}, then

{{{x-y=2x+y+1}}}....(1)

{{{x-y=(3x-y-2)/2}}}....(2)
___________________.....solve this system

{{{x-y=2x+y+1}}}....(1)...solve for {{{x}}}

{{{-y-y-1=2x-x}}}

{{{-2y-1=x}}}.....substitute in (2)


{{{-2y-1-y=(3(-2y-1)-y-2)/2}}}...solve for {{{y}}}

{{{-3y-1=(-6y-3)-y-2)/2}}}

{{{-3*2y-1*2=-6y-3-y-2}}}

{{{-6y-2=-7y-5}}}

{{{7y-6y=2-5}}}

{{{highlight(y=-3)}}}

find {{{x}}}

{{{-2y-1=x}}}

{{{x=-2(-3)-1}}}

{{{x=6-1}}}

{{{highlight(x=5)}}}

a) the length of a side

{{{x-y=5-(-3)}}}

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

{{{highlight(x-y=8)}}}

b) the perimeter of the rhombus

{{{P=4*8}}}

{{{highlight(P=32)}}}