Question

Given the formula for the perimeter of a rectangle, p=2l+2wwhich answer would you get if you solve for l? p−2w 2 p/w-2 p/2−2w p−2l/2

Answer 1

If we have:

`p=2w+2l`

To solve for l we can start by inverting the sides and substracting 2w from both sides so that the term with l becomes alone in the left side:

`\begin{gathered} p=2w+2l \\ 2w+2l=p \\ 2w-2w+2l=p-2w \\ 2l=p-2w \end{gathered}`

Now, we can divide both sides by 2 so thay the 2 in 2l gets canceled:

`\begin{gathered} 2l=p-2w \\ (2l)/(2)=(p-2w)/(2) \\ l=(p-2w)/(2) \end{gathered}`

So, the answer we would get is

`(p-2w)/(2)`