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18 February, 01:54

The length of a rectangles is 3 inches less than the width. If the perimeter of the rectangle is 14 inches, find the dimensions.

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  1. 18 February, 04:09
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    The answer would be 5 inches for the width and 2 inches for the length of the rectangle.

    Step-by-step explanation:

    The first step would be to write an equation:

    2x + 2 (x-3) = 14 inches

    Next do the distributive property:

    2x + 2 (x-3) = 14 inches - --> 2x + 2x-6 = 14 inches

    After that, combine like terms:

    2x + 2x-6 = 14 inches - --> 4x-6 = 14 inches

    Then, add 6 to both sides:

    4x-6 = 14 inches - --> 4x-6 + (6) = 14 inches + (6) - --> 4x = 20 inches

    Following this, divide both sides by 4:

    4x = 20 inches - --> 4x: (4) = 20 inches: (4) - --> x = 5 inches

    You now have the side length of the rectangle's width.

    Lastly, find the length.

    5 - 3 = 2 inches

    To double-check, check with the equation.

    2x + 2 (x-3) = 14 inches - --> 2 (5) + 2 (5-3) = 14 inches - -->

    2 (5) + 2 (2) = 14 inches - --> 10+4 = 14 inches - --> 14=14 inches

    The answer is correct.
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