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1 February, 00:19

The length of a rectangle is 6 centimeters more than its width. The area is 216 square centimeters. What are the dimensions?

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Answers (2)
  1. 1 February, 02:25
    0
    l = 6 + w

    A = l * w = 216 cm²

    (6 + w) ·w = 216

    6w + w² = 216

    w² + 6w - 216 = 0

    w² + 18w - 12w = 0

    w (w + 18) - 12 (w + 18) = 0

    (w - 12) (w + 18) = 0

    w - 12 = 0 = > w = 12 cm

    w + 8 = 0 = > w = - 18 ∉ N

    w = 12 cm

    l = 12 cm + 6cm

    l = 18 cm
  2. 1 February, 02:42
    0
    18

    Step-by-step explanation:

    216 divided by 6 = 36

    36 divided by 2 = 18
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