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17 October, 20:26

If the width of a rectangular piece of wood is x + 2 inches long and the length is three times as long with an additional inch added, what is the area of the wood?

a. 3x² + 12x + 12

b. 3x² + 12x + 14

c. 3x² - 13x + 14

d. 3x² + 13x + 14

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Answers (1)
  1. 17 October, 23:06
    0
    A = lw

    A = 3 (x + 2) (x + 2)

    A = 3 (x (x + 2) + 2 (x + 2)

    A = 3 (x (x) + x (2) + 2 (x) + 2 (2))

    A = 3 (x² + 2x + 2x + 4)

    A = 3 (x² + 4x + 4)

    A = 3 (x²) + 3 (4x) + 3 (4)

    A = 3x² + 12x + 12

    The answer is A.
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