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15 February, 13:58

A rectangle has an area of 156 square inches and a perimeter of 50 in what are the width and the length of the rectangle

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Answers (2)
  1. 15 February, 14:47
    0
    2l + 2w = 50

    lw = 156

    l = 156/w

    so substituting we have:-

    2 (156/w) + 2w = 50

    312 + 2w^2 = 50w

    2w^2 - 50w + 312 = 0

    w^2 - 25w + 156 = 0

    (w - 13) (w - 12) = 0

    So w = 12 or 13

    and L = 50 - 24 / 2 = 13

    answer is length 13 and width is 12
  2. 15 February, 16:24
    0
    W = 13 inches

    L = 12 inches

    P = 2 (l+w) and L=P/2 - w=50/2 - 13 = 12
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