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A new Community Wellness Complex is being built in Erie. The perimeter of the rectangular playing field is 492 yards. The length of the field is 4 yards less than quadruple the width. What are the dimensions of the playing field?

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  1. 6 July, 19:38
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    Perimeter is 2 times the length plus 2 times withe width.

    Let X = the width, then the length would be 4x-4

    Now you have:

    2 (x) + 2 (4x-4) = 492

    Simplify:

    2x + 8x - 8 = 492

    Combine like terms:

    10x - 8 = 492

    Add 8 to both sides:

    10x = 500

    Divide both sides by 10:

    x = 500 / 10

    x = 50

    The width is 50 yards.

    The length = 4 (50) - 4 = 200-4 = 196 yards.
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