A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

map scale and proportion question?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The question is: The scale of Map P is 1:60,000. A 2.52km footpath is represented by a line on Map P. The area of a pond on Map P is 9.5cm^2. (i)Find, in cm, the length of the footpath on Map P. (ii)Find, in km^2 ,the actual area of the pond. (iii)The same footpath was represented by a length of 1.8cm on Map Q. Find the scale of Map Q in the form of 1:n . Please explain your wokings to me, especially (iii). thanks :)

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i) 1:60,000 means 1m on the map is 60,000m in real life. If you had a meter on the map, you would multiply by 60,000 to get the real size. Here, you divide the real size by 60,000 to get the map size

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hey wait.. its 1cm : 60,000cm , not metres :)

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ii) for area, it is the same thing, but 1:60,000 in two directions, so we multiply by 60,000 squared\[9.5*60,000^{2}=Area\] in cm^2 Divide by 100^2 to get m^2. Divide again by 1000^2 for km^2

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it doesn't matter, as long as the units match : ) 1cm:60,000cm is the same ratio as 1m:60,000m

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    iii) here we just need the ratio of map size to real life size, but the map size needs to be a 1. 1.8cm/2.52km = 1.8cm/252,000cm Divide top and bottom by 1.8 1/(252,000/1.8)=1/140000 or 1:140,000

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :O thanks, i get it now (:

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.