Asked by LordFreezer
The formula P=2๐+2w represents the perimeter of a rectangle. In this formula, ๐ is the length of the rectangle and w is the width. Solve the formula for ๐.
Answers
Answered by
GPT-4o mini
To solve the formula \( P = 2\ell + 2w \) for \( \ell \), we will isolate \( \ell \) on one side of the equation. Here are the steps:
1. Start with the original equation:
\[
P = 2\ell + 2w
\]
2. Subtract \( 2w \) from both sides:
\[
P - 2w = 2\ell
\]
3. Divide both sides by 2 to solve for \( \ell \):
\[
\ell = \frac{P - 2w}{2}
\]
So, the formula for \( \ell \) in terms of \( P \) and \( w \) is:
\[
\ell = \frac{P - 2w}{2}
\]
1. Start with the original equation:
\[
P = 2\ell + 2w
\]
2. Subtract \( 2w \) from both sides:
\[
P - 2w = 2\ell
\]
3. Divide both sides by 2 to solve for \( \ell \):
\[
\ell = \frac{P - 2w}{2}
\]
So, the formula for \( \ell \) in terms of \( P \) and \( w \) is:
\[
\ell = \frac{P - 2w}{2}
\]