Answer:
[tex]Length=16\\\\Width=3[/tex]
Step-by-step explanation:
Let, the width of the rectangle be 'w'
Length of the rectangle= [tex]5w+1[/tex]
Perimeter of the rectangle=38
Perimeter of the rectangle= 2(Length+Width)
[tex]38= 2(5w+1+w)\\\\38=2(6w+1)\\\\38/2=6w+1\\\\6w+1=19\\\\6w=19-1\\\\6w=18\\\\w=18/6\\\\w=3\\\\[/tex]
[tex]Width=3[/tex]
[tex]Length=5w+1= 5(3)+1=15+1=16[/tex]
[tex]Length=16\\\\Width=3[/tex]
