The perimeter of a rectangle is   units. Its width is   units.Write an equation to determine the length   of the rectangle.

1. Break Down the Problem

The perimeter $P$ of a rectangle can be given by the formula: $P = 2L + 2W$ where $L$ is the length and $W$ is the width. We need to rearrange this formula to solve for the length $L$.

2. Relevant Concepts

Given:

• The perimeter $P$ (a certain number of units)
• The width $W$ (a certain number of units)

3. Analysis and Detail

Using the perimeter formula: $P = 2L + 2W$ To find the length $L$, we need to isolate $L$: $2L = P - 2W$ Dividing both sides by 2 gives: $L = \frac{P - 2W}{2}$

4. Verify and Summarize

The equation to determine the length $L$ of the rectangle based on the given perimeter $P$ and width $W$ is thus: $L = \frac{P - 2W}{2}$

Final Answer

The equation to determine the length $L$ of the rectangle is: $L = \frac{P - 2W}{2}$