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The width of a rectangle is fixed at 19 cm. What lengths will make the perimeter greater than 82 cm. The length must be greater than ___ cm

  • Algebra -

    The perimeter of a rectangle is given by P = 2(L + W). We want P > 82cm with width fixed at 19cm.

    2(L + 19) > 82

    Solve for L.

  • Algebra -

    Start with perimeter = 2(W+L)
    If W=19, and perimeter > 82, we end up with the inequality:
    2(19+L) > 82
    Solve for L to get the answer.

  • Algebra -

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