Answer :

To find the length of a rectangular table given its perimeter, we can use the formula for the perimeter of a rectangle:

[tex]P = 2(l + w)[/tex]

where [tex]P[/tex] is the perimeter, [tex]l[/tex] is the length, and [tex]w[/tex] is the width. In this problem, we know that the perimeter [tex]P[/tex] is 181 units.

Let's solve step-by-step:

  1. Set Up the Equation:
    [tex]181 = 2(l + w)[/tex]

  2. Simplify the Equation:
    Divide both sides by 2 to solve for [tex]l + w[/tex]:
    [tex]l + w = \frac{181}{2}[/tex]
    [tex]l + w = 90.5[/tex]

  3. Assumptions:
    Without additional information, we cannot determine the specific dimensions of length and width. However, we can express one variable in terms of the other:
    [tex]l = 90.5 - w[/tex]
    [tex]w = 90.5 - l[/tex]

    If there's a specific width or additional context (e.g., the table might be square or have a known set of proportions), you could solve for [tex]l[/tex] specifically.

  4. Conclusion:
    Without knowing the width or additional constraints, we conclude that the length [tex]l[/tex] and width [tex]w[/tex] must add up to 90.5 units. The actual length depends on the width value, which could be adjusted based on specific requirements or conditions.

Remember, when dealing with real-life applications or specific tasks, more information might be needed to provide a precise answer.

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Rewritten by : Barada

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