Algebraic Representation Math Example 2

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Example 2

medium
Write an algebraic formula for the perimeter of a rectangle with length ℓ\ell and width ww.

Solution

  1. 1
    A rectangle has two lengths and two widths.
  2. 2
    Perimeter = ℓ+w+ℓ+w=2ℓ+2w\ell + w + \ell + w = 2\ell + 2w.
  3. 3
    Factor: P=2(ℓ+w)P = 2(\ell + w).

Answer

P=2(ℓ+w)P = 2(\ell + w)
Algebraic representation converts geometric relationships into formulas. Variables ℓ\ell and ww can take any positive value, making the formula general.

About Algebraic Representation

Using algebraic expressions and equations to represent and analyze mathematical relationships and real-world situations.

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