Respuesta :

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.