asked 143k views
22 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?

2 Answers

11 votes

Explanation:

L = 10W

L + W = 132/2 = 66

---

10W + W = 66

W = 6

L = 60

answered
User Lukejanicke
by
8.5k 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
answered
User Y Ramesh Rao
by
8.0k points
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