Hey guys, i got both these questions correct, however im not really sure i know the reasoning behind them so if anyone is able to clarify why that would be great.
So with Question 1 B here, they convert the sides lengths into the same unit of measurement (cm or m, both work) which i understand, and then they use k^2 which again i understand.
With Question 5 here,a block of land has an area of 4000m^2, and the map is 10cm^2. Following the last question, wouldnt we have to convert these into the same measurement? Can anyone explain clearly to me why they dont do this?
Cheers!
So, Question 1b ii:
-We know that a 3cm line represents 600 cm, so linear scale factor (k)= 1:200. Keep in mind that you have to convert both of them to the same unit, preferably cm.
-Next, to find the area scale factor, you need to square k. That gives you 1:40 000
-Now, you need to find x:600 000, because 60m^2 = 600 000 cm^2.
-Solve, and that gives you 15 cm^2.
Question 5:
-Area scale factor is 10:40 000 000 if you convert 4000 m^2 to cm^2.
-Simplifies to 1 cm:4 000 000 cm
-Square root to find linear scale factor. That gives you 1 cm:2000 cm
-Convert to metres.
Hope that helps!