Question 1191561


if you have parallelogram {{{ABCD}}}, opposite sides are parallel and equal in length

so, {{{AB=CD }}}and {{{AD=BC}}}

{{{AB= (4x-6)}}}
{{{BC= (3y-8)}}}
{{{CD= (2x+8)}}}
{{{AD= (2y+4) }}}


a) What is the value of{{{ x}}}?

{{{AB=CD}}}
{{{4x-6=2x+8}}}
{{{4x-2x=6+8}}}
{{{2x=14}}}
{{{x=7}}}


B) how long is {{{AD}}}?

{{{AD= 2y+4}}}.......need {{{y}}}

{{{AD=BC}}}
{{{2y+4=3y-8}}}
{{{8+4=3y-2y}}}
{{{y=12}}}

=> {{{AD= 2*12+4}}}=>{{{AD=28}}}

C) if m D) what is the perimeter of the parallelogram  {{{ABCD}}}?

{{{P=2(AD+AB)}}}

{{{AD=28}}}

need {{{AB}}}

{{{AB= 4x-6}}}..........since {{{x=7}}}
{{{AB=28-6}}}
{{{AB=22}}}

then

{{{P=2(28+22)}}}

{{{P=100}}}