Question

The formula for the perimeter of a rectangle is p=2(l+w).
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.
Part B. In two or more complete sentences, describe the process you followed while isolating the variable w in the equation p=2(l+w).

Answer 1

Part A:
We want to have the formula in terms of width w. So, we want to isolate w.

p = 2(l+w)
First, divide both sides of the equation by 2:
p/2 = l + w

Next, subtract l from both sides of the equation to isolate w:
w = p/2 - l

So the formula for the width (w) is:
w = p/2 - l

Part B:
To isolate the variable w in the equation p=2(l+w), I followed these steps:
1. Divide both sides of the equation by 2 to remove the multiplication factor.
2. Subtract l from both sides of the equation to isolate w on one side of the equation.
By following these steps, I got the equation in terms of width w: w = p/2 - l.