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22 October, 18:48

A new Community Wellness ComplexCommunity Wellness Complex is being built in Pagosa SpringsPagosa Springs. The perimeter of the rectangular playing field is 444444 yards. The length of the field is 33 yards less than quadruplequadruple the width. What are the dimensions of the playing field?

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  1. 22 October, 19:44
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    Width = 44451 yards

    Length = 177771 yards

    Explanation:

    We defined the variables thus:

    x : playing field's width

    y : playing field's length

    The perimeter is 444444, then:

    2x+2y = 444444

    If the length of the field is 33 yards less than quadruple the width

    y = 4x-33

    We have an equation system that we can resolve by substitution.

    2x+2 (4x-33) = 444444

    2x + 8x - 66 = 444444

    10x = 444510

    x = 44451 yards

    and how y = 4x-33, then

    y = 4 (44451) - 33

    y = 177771 yards
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