A RECTANGLE HAS A PERIMETER OF 196 CENTIMETERS. IF THE LENGTH IS 6 TIMES ITS WIDTH FIND TH DIMENSION

A RECTANGLE HAS A PERIMETER OF 196 CENTIMETERS. IF THE LENGTH IS 6 TIMES ITS WIDTH FIND TH DIMENSIONS OF THE RECTANGLE?

Whoa... stop screaming with those capital letters! But I digress...

The perimeter of a rectangle is:
P = 2l + 2w

We're given two equations:

1. P = 196
2. l = 6w

Plug these into the perimeter formula:
2(6w) + 2w = 196
12w + 2w = 196

Plugging this equation into our search engine, we get:
w = 14

Now we put w = 14 into equation (2) above:
l = 6(14)
l = 84

So our length (l), width (w) of the rectangle is (l, w) = (84, 14)

Let's check our work by plugging this into the perimeter formula:
2(84) + 2(14) ? 196
168 + 28 ? 196
196 = 196 <-- checks out