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20 May, 21:51

The width of a rectangle is 9 centimeters greater than the length. Find the dimensions of the rectangle if the perimeter is 66 centimeters.

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  1. 20 May, 23:53
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    Answer: Length = 12cm, width = 21cm

    Step-by-step explanation:

    Let the length be x, then the width is x + 9, That is

    Length = x

    Width = x + 9

    The formula for calculating the perimeter of a rectangle is given by:

    Perimeter = 2 (Length + Width)

    substituting the values, we have:

    66 = 2 (x + x + 9)

    66 = 2 (2x + 9)

    divide through by 2

    66/2 = 2x + 9

    33 = 2x + 9

    subtract 9 from both sides

    33 - 9 = 2x

    24 = 2x

    divide through by 2

    therefore:

    x = 12

    This means that

    Length = 12cm

    Width = 12 + 9 = 21 cm
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