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

Question

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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Amaya 4 days 2021-10-11T21:03:08+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T21:04:13+00:00

    Answer:

    18

    Step-by-step explanation:

    216 divided by 6 = 36

    36 divided by 2 = 18

    0
    2021-10-11T21:04:33+00:00

    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

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