Answer:
Length = 24 cm
Width = 6 cm.
Step-by-step explanation:
The formula to compute the perimeter of a rectangle is,
[tex]Perimeter=2(length+width)[/tex]
Given:
Perimeter = 60 cm
width = w
length = 4w
Determine the value of width as follows:
[tex]Perimeter=2(length+width)\\60=2\times(4w+w)\\60=10w\\w=6[/tex]
The value of length is:
[tex]length(l)=4\times w\\l=4\times6\\l=24[/tex]
Thus, the length and the width of the rectangle are 24 cm and 6 cm respectively.