Question

the length of a new rectangular playing field is 3 yards longer than quadruple the width. if the perimeter of the rectangular playing field is 586 yards, what are its dimensions?

Answers

  1. Answer:
    length = 235 yd
    width = 58 yd
    Step-by-step explanation:
    Let the width be W.
    L = 4W + 3
    perimeter = 2(L + W)
    perimeter = 2(4W + 3 + W)
    perimeter = 2(5W + 3) = 10W + 6
    We are told the perimeter = 586 yd
    10W + 6 = 586
    10W = 580
    W = 58
    L = 4W + 3 = 4(58) + 3 = 232 + 3 = 235
    length = 235 yd
    width = 58 yd

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