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).
Part A: To rewrite the formula for the perimeter of a rectangle in terms of the width w, we need to isolate the variable w:
p = 2(l + w)
First, we need to divide by 2 to get rid of the coefficient of l+w:
p/2 = l + w
Now, subtract l from both sides of the equation to isolate w:
w = p/2 - l
So the formula for the width w in terms of the perimeter and length is w = p/2 - l.
Part B: To isolate the variable w in the equation p=2(l+w), I first divided both sides of the equation by 2 to remove the 2 from the parentheses. This resulted in the equation p/2=l+w. Next, I subtracted l from both sides to isolate w, which gave me the final equation w = p/2 - l.