Question

The formula for the perimeter of a rectangle is p=2(l w). Solve for l.

1) l = p/2 - w
2) l = (p - w)/2
3) l = p/2 + w
4) l = 2p - w

Answer 1

To solve for the length of a rectangle given its perimeter, width, and the formula p=2lw, you can use the equation l = (p - w)/2.

Step-by-step explanation:

The formula for the perimeter of a rectangle is p = 2lw. To solve for l (the length), we need to isolate l on one side of the equation. Here are the steps:

1. Start with the equation p = 2lw.
2. Divide both sides of the equation by 2 to isolate lw: p/2 = lw.
3. Now, divide both sides of the equation by w to solve for l: l = (p/w)/2. This simplifies to l = p/2w or l = (p - w)/2.

Therefore, the correct equation is l = (p - w)/2.