Answer:
[tex]w=\frac{P-2l}{2} \textrm{ or } w=\frac{P}{2}-l[/tex]
Step-by-step explanation:
Given:
The perimeter of a rectangle is given as,
[tex]P=2l+2w[/tex]
We are asked to express this in terms of [tex]w[/tex].
Add -2l both sides and simplify. This gives,
[tex]P-2l=2l-2l+2w\\ P-2l=2w[/tex]
Now, we divide both sides by 2 to get an expression in terms of [tex]w[/tex]. This gives,
[tex]\frac{P-2l}{2}=\frac{2w}{2}\\ w=\frac{P-2l}{2} \textrm{ or}\\ w=\frac{P}{2}-l [/tex]
