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P = 2L + 2W for W

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3 answers

To solve the equation \( P = 2L + 2W \) for \( W \), follow these steps:

  1. Isolate the term with \( W \): Start by moving the term involving \( L \) to the other side of the equation: \[ P - 2L = 2W \]

  2. Divide by 2: To solve for \( W \), divide both sides of the equation by 2: \[ W = \frac{P - 2L}{2} \]

Now, we have \( W \) expressed in terms of \( P \) and \( L \): \[ W = \frac{P - 2L}{2} \]

Summary

We started with the formula for perimeter \( P = 2L + 2W \), isolated the \( W \) variable and ended up with \( W = \frac{P - 2L}{2} \).

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To solve the equation \( P = 2L + 2W \) for \( W \):

  1. Start with the equation: \[ P = 2L + 2W \]

  2. Rearrange it to isolate \( W \): \[ P - 2L = 2W \]

  3. Now, to find \( W \), divide both sides by 2: \[ W = (P - 2L) divided by 2 \]

So the answer is: W equals (P minus 2L) divided by 2.