Question

1. using the equation for the perimeter of a rectangle, $p = 2l + 2w$, which of the following equations correctly highlights the width (w) of a rectangle in relation to the perimeter (p) and length (l)?

a. $w = \frac{p - l}{2}$
b. $w = p - 2l$
c. $w = \frac{p - 2l}{2}$
d. $w = p - l$

Explanation:

Step1: Isolate the term with \(w\)

Starting with \(P = 2l+2w\), subtract \(2l\) from both sides:
\(P - 2l=2l + 2w-2l\)
\(P - 2l=2w\)

Step2: Solve for \(w\)

Divide both sides of the equation \(P - 2l = 2w\) by \(2\):
\(w=\frac{P - 2l}{2}\)

Answer:

C. \(w=\frac{P - 2l}{2}\)