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9 June, 03:36

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 16 meters and its length is 2 meters more than twice its width.

What is its length?

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  1. 9 June, 03:57
    0
    Let us assume the width of the rectangle = x meters

    Then

    Length of the rectangle = 2x + 2

    Perimeter of the rectangle = 16 meters

    Then

    Perimeter = 2 (Length + width)

    16 = 2 (2x + 2 + x)

    16 = 2 (3x + 2)

    16 = 6x + 4

    6x = 16 - 4

    6x = 12

    x = 2

    Then

    Length of the side of the rectangle = 2x + 2

    = (2 * 2) + 2

    = 6

    I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
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