Answer:
D. [tex] l = \frac{P - 2w}{2} [/tex]
Step-by-step explanation:
Given:
[tex] P = 2l + 2w [/tex]
Required:
Solve for l
Solution:
To solve for l, we would make l the subject of the given formula.
[tex] P = 2l + 2w [/tex]
[tex] P = 2(l + w) [/tex]
Divide both sides by 2
[tex] \frac{P}{2} = \frac{2(l + w)}{2} [/tex]
[tex] \frac{P}{2} = l + w [/tex]
Subtract w from both sides
[tex] \frac{P}{2} - w = l + w - w [/tex]
[tex] \frac{P}{2} - w = l [/tex]
[tex] \frac{P}{2} - \frac{w}{1} = l [/tex]
[tex] \frac{P - 2w}{2} = l [/tex]
Rewrite
[tex] l = \frac{P - 2w}{2} [/tex]
