Question

The formula for the perimeter P of a rectangle with length / and width w is as follows.

P=21+2w
Suppose the length of the rectangle is 2 times the width. Rewrite P in terms of wonly.
It is not necessary to simplify.

Answer 1

If the length of the rectangle is 2 times the width, we can represent it as L = 2w, where L is the length and w is the width.

Substituting this value into the formula for the perimeter P = 21 + 2w, we have:

P = 21 + 2(2w)

P = 21 + 4w

Therefore, the perimeter P in terms of the width w only is P = 21 + 4w.