Look at the figure below.Given perimeter and the width of a rectangle, find the length. cm

To determine the length of the rectangle given its perimeter and width, we will follow these steps:

1. Break Down the Problem

• We know the formula for the perimeter of a rectangle is given by: $P = 2 \times (L + W)$ where $P$ is the perimeter, $L$ is the length, and $W$ is the width.
• We need to rearrange this formula to solve for the length $L$.

2. Relevant Concepts

• From the perimeter formula, we can express length as: $L = \frac{P}{2} - W$

3. Analysis and Detail

• Let’s assume:

  • The perimeter $P$ is given as $x$ cm (replace $x$ with the actual value).
  • The width $W$ is given as $y$ cm (replace $y$ with the actual value).

• Substitute these values into the length formula: $L = \frac{x}{2} - y$

4. Verify and Summarize

• Ensure that the values of $x$ and $y$ are correctly defined before performing the calculation.
• After calculating $L$, verify that it is a positive value since length cannot be negative.

Final Answer

Substituting the actual values of $P$ and $W$ will yield the length $L$ of the rectangle in cm. Provide the values to compute $L$.