Solution:
Consider the following expression:
[tex]p\text{ = 2(l+w)}[/tex]applying the distributive property, we get:
Equation 1:
[tex]p\text{ = 2l +2w}[/tex]solving for 2w, we get:
[tex]2w\text{ = p-2l}[/tex]solving for w, we get:
[tex]w\text{ = }\frac{p-2l}{2}[/tex]now, solving for 2l from equation 1, we get:
[tex]2l\text{ = p-2w}[/tex]solving for l, we get:
[tex]l\text{ = }\frac{p-2w}{2}[/tex]we can conclude that the correct answer is:
[tex]w\text{ = }\frac{p-2l}{2}[/tex]and
[tex]l\text{ = }\frac{p-2w}{2}[/tex]