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Math Help - Algebraic Reprsentation

  1. #1
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    Algebraic Reprsentation

    An engineer measured the dimensions for a rectangular site by usinga wooden pole of unknown length x. The length of the rectangular siteis 2 pole measures increased by 3 feet, while the width is 1 pole measure decreased by 4 feet. Write an algebraic representation, in terms of x, for the perimeter of the site.
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  2. #2
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    Hey there magentarita,

    Since the perimeter of the site is rectangular, it is of the form:

    P = 2(\text {length } \times {\text { width}})

    From the question...

    P = 2((2x + 3) + (x - 4))

    P = 2(3x - 1)

    P = 6x - 2 \text{ feet}

    Alternately, the wording of the question could be seen as a little ambiguous for the following reasons...

    "The length of the rectangular site is 2 pole measures increased by 3 feet...

    Does this mean, instead, 2(x + 3)?

    If this is the case, then the perimeter is:

    P = 2((2(x + 3)) + (x - 4))

    P = 2((2x + 6) + (x - 4))

    P = 2(3x - 2)

    P = 6x - 4 \text { feet}

    In general math questions, however, I would favour the initial reading.

    Trust this helps.
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  3. #3
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    great

    Quote Originally Posted by MakeANote View Post
    Hey there magentarita,

    Since the perimeter of the site is rectangular, it is of the form:

    P = 2(\text {length } \times {\text { width}})

    From the question...

    P = 2((2x + 3) + (x - 4))

    P = 2(3x - 1)

    P = 6x - 2 \text{ feet}

    Alternately, the wording of the question could be seen as a little ambiguous for the following reasons...

    "The length of the rectangular site is 2 pole measures increased by 3 feet...

    Does this mean, instead, 2(x + 3)?

    If this is the case, then the perimeter is:

    P = 2((2(x + 3)) + (x - 4))

    P = 2((2x + 6) + (x - 4))

    P = 2(3x - 2)

    P = 6x - 4 \text { feet}

    In general math questions, however, I would favour the initial reading.

    Trust this helps.
    Thank you for taking time out to help me.
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