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5. when the formula $p = 2l + 2w$ is solved for $w$, the result is 1) $…

Question

5.
when the formula $p = 2l + 2w$ is solved for $w$, the result is

  1. $w = \frac{2l + p}{2}$ 2) $w = \frac{p - 2l}{2}$ 3) $w = \frac{p}{2} + l$ 4) $w = l - \frac{p}{2}$

Explanation:

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

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

Step2: Divide both sides by 2

Now that we have \(p - 2l = 2w\), we want to solve for \(w\). To do this, we divide both sides of the equation by 2. So, \(\frac{p - 2l}{2}=w\), which can be rewritten as \(w=\frac{p - 2l}{2}\).

Answer:

  1. \(w=\frac{p - 2l}{2}\)