To change the scale from 1:50,000 to 1:100,000, you need to reduce the scale. The new scale is less detailed, as it represents a larger area compared to the previous scale.
To perform this reduction, you would divide the numerator (the first number in the scale) by 2 and keep the same denominator (the second number in the scale). Therefore, the new scale would be 1:100,000.
Formula: New Scale = (Previous Scale numerator รท Reduction factor) : Previous Scale denominator
In this case, the reduction factor is 2 because we divided by 2 to go from 1:50,000 to 1:100,000.
Now, let's move on to the second question.
To change the scale from 1:100,000 to 1:20,000, you would need to enlarge the scale. The new scale would provide a more detailed representation of a smaller area.
To perform this enlargement, you would multiply the numerator (the first number in the scale) by a factor of 5, and keep the same denominator (the second number in the scale). Therefore, the new scale would be 1:20,000.
Formula: New Scale = (Previous Scale numerator ร Enlargement factor) : Previous Scale denominator
In this case, the enlargement factor is 5 because we multiplied by 5 to go from 1:100,000 to 1:20,000.
To get a new scale for a new map, you would need to consider the desired level of detail or coverage area. The formula mentioned earlier can be used as a general guide to calculate the new scale. Adjust the reduction or enlargement factor based on the specific scale change you want to achieve.