Math

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The length of a rectangle is 2 more than twice its width. If the area of the rectangle is 24 sq. m., find its dimensions.

  • Math -

    L = 2 + 2 W = 2 ( 1 + W )


    A = L * W

    24 = 2 * ( 1 + W ) * W

    24 = 2 * ( W + W ^ 2 ) Divide both sides by 2

    12 = W + W ^ 2 Subtract 12 to both sides

    0 = W + W ^ 2 - 12

    Now you must solwe equation :

    W ^ 2 + W - 12 = 0

    The exact solutions are 3 and - 4

    Width cannot be negative so W = 3 m

    L = 2 + 2 W

    L = 2 + 2 * 3

    L = 2 + 6 = 8 m


    A = L * W = 8 * 3 = 24 m ^ 2


    P. S.

    If you don't know how to solve equations :

    W ^ 2 + W - 12 = 0

    in google type: quadratic equation online

    When you see list of results click on:

    Free Online Quadratic Equation Solver:Solve by Quadratic Formula

    When page be open in rectangle type:

    W ^ 2 + W - 12 = 0

    and click option: solve it!

    You wil see solution step-by-step

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