Question

the formula ( p = 2l + 2w ) means that the perimeter of a rectangle is equal to twice the sum of its length and its width. solve ( p = 2l + 2w ) for ( l ). a. ( l = p - 2 - w ) b. ( l = \frac{p - 2}{w} ) c. ( l = \frac{p + 2w}{2} ) d. ( l = \frac{p - 2w}{2} )

Explanation:

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

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

Step2: Divide both sides by 2

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

Answer:

D. \( I = \frac{P - 2w}{2} \)