Question 1193080

In the figure,
{{{AB = 4x + 1}}},
{{{BC = 3x + 6}}},
 {{{CD = 7x − 5}}}

Find the length of each side of ▱{{{ABCD}}}.

in parallelogram opposite sides are equal im length, so

{{{AB =CD}}}
{{{BC =AD}}}

then

 {{{4x+1=7x-5}}}  

{{{5+1=7x-4x}}}  

{{{3x=6}}}

{{{x=2}}}

substitute in given sides

{{{AB = 4x + 1=4*2+1=9}}} 
{{{BC = 3*2 + 6=12}}}

then
 {{{CD = 9}}}
{{{ AD=12}}}