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: Start with the perimeter formula

We have the perimeter formula of a rectangle: \( P = 2l + 2w \). Our goal is to solve for \( w \) in terms of \( P \) and \( l \).

Step2: Isolate the term with \( w \)

Subtract \( 2l \) from both sides of the equation to get \( P - 2l = 2w \). This step is done to get the term with \( w \) (which is \( 2w \)) by itself on one side of the equation. The equation becomes \( P - 2l = 2w \).

Step3: Solve for \( w \)

Divide both sides of the equation \( P - 2l = 2w \) by 2. When we divide both sides by 2, we get \( w=\frac{P - 2l}{2} \).

Answer:

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