Question
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Tutor-Verified Answer
Answer
\( L = \frac{P - 2W}{2} \)
Solution
1. Start with the equation:
\[
2L + 2W = P
\]
2. Subtract \(2W\) from both sides to isolate the term with \(L\):
\[
2L = P - 2W
\]
3. Divide both sides of the equation by \(2\) to solve for \(L\):
\[
L = \frac{P - 2W}{2}
\]
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Simplify this solution Bonus Knowledge
To solve for \( L \), we first rearrange the equation \( 2L + 2W = P \). Start by isolating the term with \( L \): \( 2L = P - 2W \). Now we divide by 2: \( L = \frac{P - 2W}{2} \). And there you have it! Your length \( L \) in terms of perimeter \( P \) and width \( W \) is ready for any calculation! Understanding this equation can come in handy, especially in real-life scenarios like landscaping or designing a room. If you know the perimeter of a garden and its width, you can easily find out how long one side should be to meet your design needs. It's like being a math wizard for real-world tasks!
