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The perimeter of a regulation singles tennis court is 210 feet and the length is 30 feet less than four times the width. What are the dimensions of the court?

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  1. 22 May, 15:06
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    The court is 27 feet by 78 feet.

    Step-by-step explanation:

    A tennis court has a shape of a rectangle, the perimeter of a rectangle is given by:

    perimeter = 2*width + 2*length

    Since the length is 30 feet less than four times the width, then:

    length = 4*width - 30

    We can now calculate the dimmensions of the court:

    perimeter = 210 = 2*width + 2*length

    210 = 2*width + 2 * (4*width - 30)

    210 = 2*width + 8*width - 60

    210 = 10*width - 60

    10*width - 60 = 210

    10*width = 210 + 60

    10*width = 270

    width = 270/10 = 27

    length = 4*27 - 30 = 78
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