Answer:
Step-by-step explanation:
The area of a rectangle is A = lw. If the area is 64, we sub it in to get 64 = lw.
If we want to express the perimeter in terms of w using that area expression, we solve the area for l:
[tex]l=\frac{64}{w}[/tex]
The formula for the perimeter of a rectangle is
P = 2l + 2w
If we are to express it in terms of w, sub in the l value from the area:
[tex]P=2(\frac{64}{w})+2w[/tex] which simplifies to
[tex]P=\frac{128}{w}+2w[/tex]
Because this is width and width is a distance measure, it can't ever be negative or 0, so the domain for w is w > 0.
