Question

the equation ( p = 2(l + w) ) can be used to find the perimeter ( p ) of a rectangle with length ( l ) and width ( w ). solve the equation for ( w ) to produce a formula for finding the width of a rectangle given its perimeter and length. the formula is ( w = ).

Explanation:

Step1: Divide both sides by 2

$$\frac{P}{2}=\frac{2(l + w)}{2}$$
$$\frac{P}{2}=l + w$$

Step2: Subtract \(l\) from both sides

$$\frac{P}{2}-l=l + w - l$$
$$w=\frac{P}{2}-l$$

Answer:

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