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Mathematics 17 Online
OpenStudy (anonymous):

how to find actual distance for a random problem?

TheSmartOne (thesmartone):

use the formula \[distance=\sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}}\]

OpenStudy (anonymous):

uhh sorry i forgot to mention it's in scale.. the method u gave me is in coordinates geometry

OpenStudy (anonymous):

what problem, specifically?

OpenStudy (anonymous):

a scale is given 1:20. Calculate the area of a room is in m-square, if it is represented on a map by an area of 12 cm-sqaure

OpenStudy (anonymous):

ah to find area in scale questions simply square both sides, then adjust the values accordingly to get your ratio

OpenStudy (anonymous):

umm how to write it?

OpenStudy (anonymous):

because for example 1cm:10cm =1cm^2:100cm^2 using your scale of 1:20, it would be?

OpenStudy (anonymous):

does it become 1m^2:20m^2?

OpenStudy (anonymous):

No. scales without units are always in cm therefore 1:20 would be 1cm:20cm try again? (: do it step by step

OpenStudy (anonymous):

ok so u are saying to make it become ^2??

TheSmartOne (thesmartone):

It would become (1cm)^2:(20cm)^2

TheSmartOne (thesmartone):

Which would become 1cm^2 : 400cm^2

OpenStudy (anonymous):

u're sure doesn't bcome 1:400??

OpenStudy (anonymous):

yea ya same thing then what do we do??

TheSmartOne (thesmartone):

You would need to find the length of one side of the square and then multiply it by the scale

OpenStudy (anonymous):

uhh what do u mean??

OpenStudy (anonymous):

okay i'll write the whole sequence out for you, if you don't understand any part, just ask all right? ^^ 1:20 =1cm : 20cm =(1cm)^2 : (20cm)^2 =1cm^2 : 400cm^2 as on the map, its 12cmsquare 1cm^2 : 400cm^2 =12cm^2 : 4800cm^2 now, convert 4800cm^2 to m^2 ***Note: 1m^2 is not 100cm^2

TheSmartOne (thesmartone):

well if we get one side then we can multiply it by the scale to get what its actual dimension would be.

OpenStudy (anonymous):

@TheSmartOne hmm i think this question is more of pure scaling and less of similar figures

OpenStudy (anonymous):

4.8m^2

TheSmartOne (thesmartone):

or you don't need to find one sides length

TheSmartOne (thesmartone):

you can use the whole area and multiply it by the scale like what @Auxuris did. and then simplify it

OpenStudy (anonymous):

@angel-ameerah nope how many cm^2 is 1m^2? 1m^2 = ____cm^2 ?

OpenStudy (anonymous):

1000?

OpenStudy (anonymous):

ah okay, take note 1m^2 is 100cmx100cm therefore it's 10000cm^2 don't worry, its a mistake many make.

OpenStudy (anonymous):

ohh thnks u understand me well.. so it becomes 0.48??

OpenStudy (anonymous):

Yep, 0.48m^2 (:

OpenStudy (anonymous):

thnku :)

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