The length of a given rectangle is six more than twice its width. Write a fully simplified expression to represent its perimeter.

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The length of a given rectangle is six more than twice its width. Write a fully simplified expression to represent its perimeter.

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Ladonna 3 years 2021-08-19T04:34:12+00:00 1 Answers 16 views 0

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  1. thuthuy
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    2021-08-19T04:35:45+00:00
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    Answer:

    Perimeter = 12 + 6y

    Step-by-step explanation:

    Represent the length with x and width with y

    By analysis, we have:

    Length = 6 + 2 times the width.

    Mathematically, the expression is:

    x = 6 + 2 * y

    x = 6 + 2 y

    Required: Determine the perimeter

    Perimeter of a rectangle is calculated as:

    Perimeter = 2 * (Length + Width)

    Substitute x for length and y for width

    Perimeter = 2 * (x + y)

    Substitute 6 + 2y for x

    Perimeter = 2 * (6 + 2y + y)

    Perimeter = 2 * (6 + 3y)

    Open bracket

    Perimeter = 2 * 6 + 2 * 3y

    Perimeter = 12 + 6y

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