Question
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Given the formula for the perimeter of a rectangle, \( p=2 l+2 w \), which answer would you get if you solve for \( l \) ? \( \left(\frac{p}{2}\right)-2 w \) \( \frac{p-2 l}{2} \) \( \frac{\left(\frac{p}{w}\right)-2}{\frac{p-2 w}{2}} \)

Ask by Boone Cummings. in the United States
Feb 04,2025

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Answer

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

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Beyond the Answer

To solve for \( l \) in the formula \( p = 2l + 2w \), start by isolating \( l \). First, rearrange the equation to get \( 2l = p - 2w \). Now, divide both sides by 2 to solve for \( l \), giving you \( l = \frac{p - 2w}{2} \). So, the correct formulation for \( l\) is \( \frac{p - 2w}{2} \), which is not explicitly listed in your choices! However, just as a fun twist, if you were to independently check each option: 1. \(\left(\frac{p}{2}\right)-2 w\) does not isolate \( l\). 2. \(\frac{p - 2l}{2}\) keeps \( l\) in the equation, so it's a no-go. 3. The third option, \(\frac{\left(\frac{p}{w}\right)-2}{\frac{p-2 w}{2}}\), is far too complex to represent something straightforward. It’s a great example of how math can sometimes lead us down tricky paths if we're not cautious!

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