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9 votes
9 votes
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 Michalsx
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2 Answers

21 votes
21 votes

Explanation:

L = 10W

L + W = 132/2 = 66

---

10W + W = 66

W = 6

L = 60

20 votes
20 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 Kenny Bones
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