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The width of a straight racetrack is one tenth of the measurement of its length, the perimeter of the track is 132 meters, what are the dimensions of the length and width of the track?

User Liang Zhou
by
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2 Answers

11 votes

Explanation:

L = 10W

L + W = 132/2 = 66

---

10W + W = 66

W = 6

L = 60

User Lukejanicke
by
3.6k points
9 votes


\sf{\red{Answer}}

  • L = 60 m
  • W = 6 m


\sf{\purple{Step \: \: By \: \: Step \: \: Explanation}}

Perimeter = 2(L + W)

132 = 2(L + L/10)

132 = 2(10L/10 + L/10)

132 = 2(11L/10)

132 : 2 = 11L : 10

66 = 11L : 10

66 : 11 = L : 10

6 = L : 10

  • L = 6 × 10 = 60 m
  • W = L/10 = 60/10 = 6 m
User Y Ramesh Rao
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3.7k points