Measurement problem involving scale

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Homework Help Overview

The discussion revolves around a measurement problem involving the scale of a map representing a rectangular park with an area of five hectares. Participants are exploring the relationship between the dimensions on the map and the actual dimensions of the park.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are discussing the definition of the scale factor and its relationship to area. There are inquiries about the reasoning behind the calculations and the validity of proposed answers.

Discussion Status

Some participants are questioning the correctness of a proposed scale of 1:25,000,000 and are encouraging the original poster to share their reasoning to facilitate understanding. There is an acknowledgment of the importance of explaining thought processes to uncover misunderstandings.

Contextual Notes

There is a mention of the need for reality checks regarding the scale, as one participant points out the impracticality of the dimensions derived from the proposed scale. Participants are encouraged to express their reasoning fully to enhance the learning experience.

rishch
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A rectangular park has an area of five hectares (1 hectare = 10,000 meter square)

The dimensions of the park on a map are 5 cm * 4 cm

What is the scale of the map?
 
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hi rishch :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
So the map of the park has sides 5cm by 4cm
The actual part has sides x by y
The area of the park is xy=50000m^2 (5 hectares)
The area of the map of the park is A=20cm^2

What is the definition of the scale factor?
What is the relationship between this and the area?
What have you tried?
 
The answer I got is 1:25,000,000. Is this correct ?
 
hi rishch! :wink:
rishch said:
The answer I got is 1:25,000,000. Is this correct ?

nope! :redface:

show your reasoning (in full, including some words) :smile:
 
Nobody ever answers my questions... :(

You can check your own answer:

a scale of 1:25000000 means that 1cm on the map is 250km IRL.
So the park has dimensions: 1000km by 1250km ... is that right?

This sort of reality check you don't need us for!
The best way to use us is to explain your reasoning and then we can best show you what underlying misunderstandings you may have. That way you learn better. I know it can make you feel silly to show your wrongness in public but don't worry: we've all been through this and we understand what it is like. Better that you are valiently wrong here, where it can benefit others as well, than hide it and get it wrong in an exam or worse - in real life.
 
Simon :smile:, sometimes less is more! :wink:
 
And the little guys try harder, eh: tiny-tim? :)
I know - sometimes I'm too wordy for my own good.
 

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