The perimeter of a rectangle is 60 cm. The length is four times the width. What The length and width of the rectangle?

Question

The perimeter of the rectangle is 60 cm.

Answer 1

Given Perimeter = 60 cm

Length = 4xWidth 

L = 4W

Perimeter = L+L+W+W =2L +2W= 60 = 2L +L/2

 (4L +L)/ 2 = 60 

or  5L/2 =60

L = 120/5 = 24 cm

and W= L/4 = 24/4 = 6 cm

 

 

 

Answer 2

The perimeter of a rectangle is equal to 2L + 2W, where L = the length of the rectangle and W = the width of the rectangle. So, one equation is

 

2L + 2W = 60

 

From the info given in the problem, we also know that L = 4W. Therefore, we can use the Substitution Method to re-write the first equation as:

 

4W + 2W = 60

 

You should be able to solve this equation for W. Once you find W, you can then calculate L.