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

Question

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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Reagan 7 days 2021-10-07T00:05:32+00:00 1 Answer 0

Answers ( )

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    2021-10-07T00:07:03+00:00

    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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