Question

example: the perimeter p of a rectangle is found by the twice the sum of the length l and width w. then solve for w. equation: p = 2(l + w) p = 2(l + w) p = 2l + 2w

Explanation:

Step1: Expand the perimeter formula

$$P = 2(l + w)=2l+2w$$

Step2: Isolate the term with \(w\)

Subtract \(2l\) from both sides of the equation:
$$P - 2l=2w$$

Step3: Solve for \(w\)

Divide both sides by \(2\):
$$w=\frac{P - 2l}{2}=\frac{P}{2}-l$$

Answer:

\(w=\frac{P - 2l}{2}\) (which is equivalent to the first option \(w = \frac{P - 2l}{2}\) in the multiple - choice part shown in the image)