Answer:
[tex]Width= 13 cm[/tex]
[tex]length=30cm[/tex]
Step-by-step explanation:
Let the length of the rectangle be 'L'
And the width of the rectangle be 'W'
[tex]Perimeter= 86 cm[/tex]
According to the statement:
[tex]Length= 2*Width+4\\L=2W+4[/tex]
Perimeter of a rectangle= 2(Length+Width)
[tex]86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm[/tex]
[tex]Width= 13 cm[/tex]
[tex]length=30cm[/tex]
