PLEASE HELP ME! I'm not a math student and this is very hard for me. I'm a History Major *shy face*
I am not a Math student whatsoever :S this is in my Geography course and I'm very confused can anyone help me out?
Imagine that a woodlot 2x3km in size has been marked on two separate maps. Map A has a scale (in mixed units) of 1cm: 80m and Map B has a scale of 5mm:110m.
a. What are the Representative Fractions of Map A and Map B
b. Which map has the larger scale? (Where 1/10 is a larger scale than 1/20)
c. Which ma shows the most detail of woodlot
d. What are the dimensions of the woodlot (in mm) on each of the two maps...
Any help and guidance would help. I want to learn this, I need to learn it...
Ok common sense will answer some of these. 1cm:80m map is the same as 10mm:80m (just changed cm to mm)
Now divide by 2 to get
5mm:40m
The other map is 5mm:110m
so which is the larger scale 5mm:40 m or 5mm:110m? Obviously it is the 5mm:40m or the 1cm:80m map.
c. Detail? If you have a map of earth that is 6 inches by 6 inches it isn't going to give much detail, is it? So thinking like this which of those two maps are going to show the most detail?
d. Ok do the math. Here's a start:
2km is how many meters? 2 times 1000 =2000 meters.
So you divide 2000 by 80 to get 25. That means on your 1cm:80m map 25cm would represent 2km. Get it? Now do 3km part for both maps and also the 2km part for the 5mm:110m map.
To answer the questions:
a. To determine the representative fraction, we need to express the scales as a ratio. The scale given for Map A is 1cm:80m, which can be written as 1:8000 since 1cm represents 80 meters. The scale for Map B is 5mm:110m, which can be written as 5:11000 since 5mm represents 110 meters. Therefore, the representative fractions for Map A and Map B are 1:8000 and 5:11000, respectively.
b. To determine which map has a larger scale, we compare the representative fractions. A larger scale means that the denominator of the fraction is smaller. In this case, 8000 is smaller than 11000. Therefore, Map A has a larger scale than Map B.
c. To determine which map shows more detail of the woodlot, we need to consider the ratio of the representation to the actual size. Since Map A has a larger scale, it means that each unit on the map represents a smaller distance on the ground. Therefore, Map A shows more detail of the woodlot compared to Map B.
d. To find the dimensions of the woodlot on each map in millimeters, we need to calculate the equivalent distance represented by the given scale. Since the woodlot is 2km (2000 meters) by 3km (3000 meters) in size, we can use our representative fractions to find the corresponding measurements on the maps.
For Map A:
1:8000 represents 80 meters, so 2000 meters is represented by (2000/80) times the numerator, which is 2000/80 = 25. Therefore, the width of the woodlot on Map A would be 25cm, or 250mm. Similarly, the length of the woodlot on Map A would be (3000/80) times the numerator, which is 3000/80 = 37.5. Therefore, the length of the woodlot on Map A would be 37.5cm, or 375mm.
For Map B:
5:11000 represents 110 meters, so the width of the woodlot on Map B would be (2000/110) times the numerator, which is 2000/110 = 18.18 (rounded to 2 decimal places). Therefore, the width of the woodlot on Map B would be 18.18cm, or 181.8mm. Similarly, the length of the woodlot on Map B would be (3000/110) times the numerator, which is 3000/110 = 27.27 (rounded to 2 decimal places). Therefore, the length of the woodlot on Map B would be 27.27cm, or 272.7mm.
Hope this helps! Let me know if you have any further questions.