Math Problem Statement

2l+2w=p

Solution

The equation you provided, 2l+2w=p2l + 2w = p, appears to represent the formula for the perimeter pp of a rectangle, where ll is the length and ww is the width.

To solve for any one variable, you need values for the others. For example:

  1. Solving for ll (length): 2l+2w=p2l=p2wl=p2w22l + 2w = p \quad \Rightarrow \quad 2l = p - 2w \quad \Rightarrow \quad l = \frac{p - 2w}{2}

  2. Solving for ww (width): 2l+2w=p2w=p2lw=p2l22l + 2w = p \quad \Rightarrow \quad 2w = p - 2l \quad \Rightarrow \quad w = \frac{p - 2l}{2}

If you provide values for either pp, ll, or ww, I can solve for the unknowns.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the perimeter if l=5l = 5 and w=3w = 3?
  2. Can you rearrange the formula for ww if the perimeter is given as 24?
  3. How would you express ll if the perimeter is known to be 30?
  4. How does the perimeter change if both ll and ww are doubled?
  5. How can you graph the relationship between ll and ww for a constant perimeter?

Tip: Remember that in geometry, solving for one variable often requires isolating it on one side of the equation while performing inverse operations on the other side.

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry
Linear Equations

Formulas

2l + 2w = p (Perimeter of a rectangle)
l = (p - 2w) / 2
w = (p - 2l) / 2

Theorems

Linear equation solving

Suitable Grade Level

Grades 6-8