geometry

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The width of a rectangle is 6 cm less than its length. If the area of the rectangle is 135 square cm, find the dimensions. Then find the perimeter of the rectangle.

  • geometry -

    W = Width

    L = Length

    A = Area

    W = L - 6

    A = W * L

    135 =( L - 6 ) * L

    135 = L ^ 2 - 6 L


    The exact solution are :

    L = - 9 cm

    and

    L = 15 cm


    The length can't be negative so:

    L = 15 cm

    W = L - 6

    W = 15 - 6 = 9 cm

    A = W * L = 15 * 9 = 135 cm ^ 2


    P. S.

    If you don't know how to solve equation:

    135 = L ^ 2 - 6 L

    Go on:

    wolframalpha dot com

    When page be open in rectangle type:

    solve 135 = L ^ 2 - 6 L

    and click option =

    After few seconds when you see result click option:

    Show steps

  • geometry -

    perimeter of a rectangle with length 6.6m and width 4.5

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