Answer:
Length = 20
Width = 6
Step-by-step explanation:
Let the length of the rectangle be l inch, so, its width
[tex]w= (\frac{1}{4}l+1)[/tex]
So the perimeter equals:
[tex]P= 2l+2w=2l+2(\frac{1}{4}l+1)=2l+\frac{1}{2}l+2=\frac{5}{2}l+2[/tex]
[tex]52= \frac{5}{2}l+2[/tex]
[tex]50 = \frac{5}{2}l[/tex] [tex]100=5l[/tex] [tex]20 = l[/tex]
Hence width:
[tex]w = (\frac{1}{4}l+1)[/tex]
[tex]w=5+1 = 6[/tex]
Length = 20
Width = 6
