Question

The equation P = 2{e + w} can be used to find the perimeter P of a rectangle with length e and width w. Solve the equation for w to produce the formula for finding the width of a rectangle given its perimeter and length

Answer 1

`w=(P)/(2)-\ell`

Explanation:

Divide by 2, then subtract the length.

`P=2(\ell+w)\\\\(P)/(2)=\ell+w \quad\text{divide by 2}\\\\(P)/(2)-\ell=w \quad\text{subtract $\ell$}\\\\w=(P)/(2)-\ell \qquad\text{your formula for $w$}`

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A script L is sometimes used to avoid confusion with I (eye) or 1 (one). It can look like an "e".