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Maths (Map Scales)

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  • Dixon999
    Dixon999's Avatar
    13 posts since Feb '08
    • 13 Jul `08, 5:13PM

      The scale of a map is 1:20 000.

      Given that the perimeter of the nature reserve on this map is 15 cm, what would be the perimeter (in cm) of the same nature reserve on another map with a scale of 1:35 000?

       

      Juz need some confirmation of the answer.

      Answer given is 6 cm but my answer is 8.57 cm (3 sig fig).

  • Moderator
    Darkness_hacker99
    Darkness_hacker99's Avatar
    31,746 posts since Jun '05
    • 13 Jul `08, 6:15PM

      1m=100cm
      10m=1,000cm
      100m=10,000cm
      1km=100,000cm
      10km=1,000,000


      1cm:20000cm

      20000cm = 200m

      Perimetre of the nature park
      So it's 15 x 200m = 3000m/3km



      The answer = 300,000/ 35000 = 8.57cm


  • secretliker
    secretliker's Avatar
    255 posts since Dec '06
    • 15 Jul `08, 5:30PM

      True perimeter of the nature reserve = 15*20000 = 300000cm

      Since it's length, the scale is directly proportional.

      Perimeter on the other map = 300000 / 35000 = 8.57142cm

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