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9 March, 10:05

What is the width of a rectangular figure that has a 3 centimeter length less then twice the width and the perimeter is 24 centimeters

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Answers (2)
  1. 9 March, 10:28
    0
    Width = 5cm, Length = 7cm.

    Create the following two formulas specified by the problem.

    First, define length in terms of width.

    L = 2*W - 3

    Then define perimeter in terms of width and length.

    2*W + 2*L = 24

    Since we have L defined in terms of W, substitute into the perimeter formula.

    2*W + 2 * (2*W - 3) = 24

    Expand formula

    2*W + 4*W - 6 = 24

    Combine W and add 6 to both sides

    6*W = 30

    Divide both sides by 6 to get W

    W = 5

    Now get L

    L = 2*W - 3

    L = 2*5 - 3

    L = 7
  2. 9 March, 12:57
    0
    7 cm should be correct
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