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2 August, 07:47

A rectangle is 6 centimeters longer than is wide and has an area of 280 square centimeters if l represent the length, in centimeters of the rectangle solving which of the following formulas will give the correct value for l?

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Answers (2)
  1. 2 August, 08:10
    0
    L = w+6

    a = 280 = w * (w+6)

    280 = w^2 + 6w.

    0 = w^2 + 6w - 280

    w^2 + 20w - 14w - 280

    (w^2 + 20w) - (14w-280)

    w (w + 20) - 14 (w + 20)

    0 = w - 14 OR 0 = w + 20

    -20=w OR 14=w

    14 must be the answer, you cannot have negative width. Ergo, length = 20.

    Width + 6, 14 + 6, 20 = length
  2. 2 August, 09:53
    0
    A = L * W

    W = L - 6

    280 = L (L - 6) or 280 = L^2 - 6L
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