Math Problem Statement

Solve for the indicated variable by formula manipulation: P = 2(L + W), solve for L.

Solution

The given formula is:

P=2(L+W)P = 2(L + W)

We are solving for LL.

Step-by-Step Solution:

  1. Divide both sides by 2 to isolate L+WL + W: P2=L+W\frac{P}{2} = L + W

  2. Subtract WW from both sides to isolate LL: L=P2WL = \frac{P}{2} - W

Final Answer in Assignment Statement Format:

L=(P/2)WL = (P / 2) - W


Do you want further clarification or have any questions?

Here are 5 related questions to explore:

  1. How do you rearrange other equations for specific variables?
  2. How would the formula change if the equation included a different constant?
  3. Can you solve similar problems with powers or roots included?
  4. How would you solve for WW instead of LL in this equation?
  5. How does the use of parentheses in formulas ensure proper calculation?

Tip: Always isolate the variable step-by-step, simplifying the equation as you go!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Equation Rearrangement

Formulas

P = 2(L + W)

Theorems

-

Suitable Grade Level

Grades 8-10