It's suppose to be a rug is shaped like a rectangle who's perimeter is192 ft. The length is five times as long as the width. Find the length and width

A = 2L + 2W

192 = 2(5W) + 2W

192 = 12W

16 = W

To find the length and width of the rug, we can set up a system of equations based on the given information.

Let's assume the width of the rug is 'w' ft. Since the length is five times as long as the width, we can represent the length as '5w' ft.

The perimeter of a rectangle is given by the formula P = 2(length + width). In this case, the perimeter is given as 192 ft. So we can write:

192 = 2(5w + w)

Simplifying the equation:

192 = 2(6w)
192 = 12w

Divide both sides of the equation by 12:

192/12 = w
16 = w

Therefore, the width of the rug (w) is 16 ft.

To find the length, we can substitute the value of the width back into the expression for the length:

Length = 5w = 5(16) = 80 ft

So, the length of the rug is 80 ft and the width is 16 ft.