Question

the formula for the perimeter of a rectangle is ( p = 2l + 2w ). solve the formula for ( w ) in terms of ( p ) and ( l ).

Explanation:

Step1: Subtract \(2l\) from both sides

To isolate the term with \(w\), we subtract \(2l\) from both sides of the equation \(P = 2l + 2w\). This gives us \(P - 2l = 2w\).

Step2: Divide both sides by 2

Now, to solve for \(w\), we divide both sides of the equation \(P - 2l = 2w\) by 2. Using the division property of equality, we get \(\frac{P - 2l}{2}=w\), which can also be written as \(w=\frac{P - 2l}{2}\) or simplified as \(w=\frac{P}{2}-l\).

Answer:

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