The formula for the perimeter of a rectangle is p=2(l+w).

Question

Part A. Rewrite the formula for the perimeter of a rectangle in terms of the width w. In your final answer, include all of your work.

Answer 1

To rewrite the formula for the perimeter of a rectangle in terms of the width w, we need to isolate w on one side of the equation.

p = 2(l + w)

First, we'll distribute the 2 to both terms inside the parentheses:

p = 2l + 2w

Next, we'll subtract 2l from both sides to isolate the term with w:

p - 2l = 2w

Finally, we'll divide both sides by 2 to solve for w:

w = (p - 2l)/2

Therefore, the formula for the perimeter of a rectangle in terms of the width w is:

w = (p - 2l)/2