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30 November, 19:28

Which of the following represents the area of a rectangle whose length is x + 1 and whose width is x + 11?

A.) x2 + 11

B.) x2 + 12x + 11

C.) x2 + 11x + 12

D.) x2 + 10x + 11

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Answers (2)
  1. 30 November, 19:34
    0
    The formula for area of a rectangle is A = bh or A = lw.

    The length and width of this rectangle are given as follows:

    l = x + 1

    w = x + 11

    To find the area, multiply these two together.

    (x + 1) (x + 11)

    Use FOIL to simplify this binomial. FOIL:

    First: Refers to each first term in parentheses (x and x, in this case)

    Outer: Refers to the outermost terms in each parentheses (x and 11 here)

    Inner: Refers to the innermost terms in each parentheses (1 and x, in this case)

    Last: Refers to the last terms in each parentheses (1 and 11 here).

    Let's simplify.

    (x + 1) (x + 11)

    x² + 11x + 1x + 11

    x² + 12x + 11

    Answer:

    B) x² + 12x + 11
  2. 30 November, 19:37
    0
    Area is length * Width.

    So the area of this rectangle would be

    (x+1) (x+11)

    This is a binomial so we can FOIL the two equations to get our answer

    First

    Outer

    Inner

    Last

    For the F we multiply the first two terms in each expression together

    (x+1) (x+11) x * x = x^2

    For the O we multiply the two outer terms together

    (x+1) (x+11) x*11 = 11x

    So far we have x^2 + 11x

    For the I, we multiply the two inner terms together

    (x+1) (x+11) 1*x = 1x or x

    now we have x^2 + 11x + x

    For the L, we multiply the last terms of both monomials together.

    (x+1) (x+11) 1 * 11 = 11

    The area is x^2 + 11x + x + 11

    B. x^2 + 12x + 11 is your answer
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