Question

1. the formula for finding the perimeter, p, of a rectangle with length i and width w is given. p = 2l + 2w which formula shows how the length of a rectangle can be determined from the perimeter and the width? a. l = \frac{p}{2}+w b. l = \frac{p}{2}-2w c. l = \frac{p - 2w}{2} d. l = \frac{p - 2}{2w}

Explanation:

Step1: Start with the perimeter formula

$$P = 2l+2w$$

Step2: Isolate the term with \(l\)

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

Step3: Solve for \(l\)

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

Answer:

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