A map with a scale of 1:40,000 is reduced to one quarter of its size, what is th...

The question is asking about the new scale of a map that has been reduced to one quarter of its original size. The original scale of the map is given as 1:40,000.

To understand the concept of scale, we need to know that it represents the relationship between distances on a map and the corresponding distances in the real world. In this case, a scale of 1:40,000 means that one unit on the map represents 40,000 units in the real world.

Now, let's think about what happens when the map is reduced to one quarter of its size. This means that all distances on the map will be 1/4 of their original length.

To find the new scale of the map, we need to determine how many units in the real world are represented by one unit on the reduced map. Since the distances on the reduced map are 1/4 of the original distances, the new scale can be calculated by dividing the original scale by 4.

So, the new scale of the map after it has been reduced to one quarter of its size is 1:40,000 divided by 4, which is 1:10,000.

Therefore, the correct answer is Option A: 1:20,000. This is the new scale of the map after it has been reduced to one quarter of its original size.