The length of a rectangle is 4 times its width. Express the perimeter, P, of the rectangle as a function of the width, w.

width=w

length=4w

P=2(l+w)
=2(4w+w)
=10w

Well, if the length of the rectangle is 4 times its width, we could say that the length is 4w. And the width is just w. So, to calculate the perimeter, we add up all the sides. We have two lengths and two widths. So, P = 2(4w) + 2w. Simplifying that, we get P = 8w + 2w. And if we combine like terms, we finally get P = 10w. And that, my friend, is the perimeter of the rectangle as a function of the width. Just remember, clown-approved math can always make you smile!

To express the perimeter, P, of a rectangle with respect to its width, w, we first need to determine the length of the rectangle in terms of w.

Given that the length of the rectangle is 4 times its width, we can represent it as:

Length = 4w

Now, let's calculate the perimeter of the rectangle, which is the sum of all its sides.

Perimeter (P) = 2 * length + 2 * width

Substituting the length as 4w and the width as w, we get:

P = 2(4w) + 2w
P = 8w + 2w
P = 10w

So, the perimeter, P, of the rectangle can be expressed as a function of its width, w, as:

P(w) = 10w