The perimeter of a rectangle is 60 cm. The length of the rectangle is four times the width. This

information is shown in the equations below.

2L + 2w = 60

1L = 4w

You can simply use substitution. Since 1L=4w, what we can do is substitute any Ls for 4w and vice versa.

2L+2w=60

8w+2w=60

10w=60

w=6

Next, we insert w into the equation to find the value of l.

2L+2 (6) = 60

2L+12=60

2L=48

L=24

We can check our answers by inserting them into the second equation

1 (24) = 4 (6)

24=24

This is true therefore our answer is correct.