The formula P=2𝓁+2w represents the perimeter of a rectangle. In this formula, 𝓁 is the length of the rectangle and w is the width. Solve the formula for 𝓁.

Answer 1

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: \[ \ell = \frac{P - 2w}{2} \]