Math Problem Statement

P=2L+2W solve for W

Solution

The equation provided is:

P=2L+2WP = 2L + 2W

You are asked to solve for WW.

To solve for WW:

  1. Subtract 2L2L from both sides of the equation to start isolating WW:

P2L=2WP - 2L = 2W

  1. Next, divide both sides by 2 to solve for WW:

W=P2L2W = \frac{P - 2L}{2}

So, the solution for WW is:

W=P2L2W = \frac{P - 2L}{2}

Would you like more details or have any questions?


Here are 5 related questions you might find useful:

  1. How do you solve for LL instead of WW in the same equation?
  2. What does the equation P=2L+2WP = 2L + 2W represent in geometry?
  3. If PP and LL are known, how can you calculate WW using this formula?
  4. How can you derive the formula for the perimeter of a rectangle?
  5. What would happen to the formula if PP represented the perimeter of a different shape, like a triangle?

Tip: When solving for a variable, aim to move all terms involving that variable to one side of the equation, then factor it out if needed.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations

Formulas

Linear equation formula P = 2L + 2W

Theorems

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Suitable Grade Level

Grades 7-9