Map Reduction and Enlargement
1). If the Scale of the original map is 1:50,000 and ask to draw a new map of 1:150,000. By how many times are you going to enlarge or reduce the map?
2). If the map extract has a scale of 1:100,000,how many times are you going to enlarge or reduce your map to an outline of 1:25,000?
1. It will be reduced by 3.
150,000/3 =50,000
2. It will be increased by 4.
25,000 x 4 =100,000
1) Well, an original map is like a little baby, so cute and small. But if you want to make it bigger, you'll have to enlarge it! In this case, the scale changes from 1:50,000 to 1:150,000, so you're going to enlarge the map by 3 times. That's like making your baby map grow into a teenager map. Brace yourself for some awkward map years!
2) Ah, the art of map transformation! So, the original map extract has a scale of 1:100,000, but you want to create an outline that's at a scale of 1:25,000. To achieve that, you'll have to make your map bigger, just like magic! So, you'll be enlarging your map by 4 times. It's like giving your map a fancy makeover, from a little map to a big and confident one.
1) To go from a scale of 1:50,000 to 1:150,000, you are going to reduce the map. The reduction factor can be calculated by dividing the numerator of the second scale (150,000) by the numerator of the first scale (50,000):
Reduction factor = 150,000 / 50,000 = 3
Therefore, you will reduce the map by a factor of 3.
2) To go from a scale of 1:100,000 to 1:25,000, you are going to enlarge the map. The enlargement factor can be calculated by dividing the numerator of the second scale (25,000) by the numerator of the first scale (100,000):
Enlargement factor = 25,000 / 100,000 = 0.25
Therefore, you will enlarge the map by a factor of 0.25 or 1/4.
To determine how many times you need to enlarge or reduce a map, you can use the concept of scale factor. The scale factor is the ratio between the sizes of objects on the original map and the new map.
1) Enlargement or Reduction from 1:50,000 to 1:150,000:
To find the scale factor, divide the denominator of the new scale by the denominator of the original scale:
Scale factor = 150,000 / 50,000 = 3
Since the scale factor is greater than 1, it indicates an enlargement. In this case, the map needs to be enlarged by a factor of 3.
2) Enlargement or Reduction from 1:100,000 to 1:25,000:
Again, calculate the scale factor by dividing the new scale denominator by the original scale denominator:
Scale factor = 25,000 / 100,000 = 0.25
Since the scale factor is less than 1, it indicates a reduction. In this case, the map needs to be reduced by a factor of 0.25 or 1/4.
To apply these scale factors to the map, you can use a grid or ruler to measure the distances on the original map and then multiply or divide them accordingly to create the new map at the desired scale.