Question

1. solve $p = 2(l + w)$ for $l$.

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

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( l \), we start by dividing both sides of the equation \( P = 2(l + w) \) by 2. This gives us \( \frac{P}{2}=l + w \).

Step2: Subtract \( w \) from both sides

Next, we subtract \( w \) from both sides of the equation \( \frac{P}{2}=l + w \) to solve for \( l \). So, \( l=\frac{P}{2}-w \).

Answer:

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