The size of a country on a map with scale of 1:50000 is reflected as 2730.8cm^2, and the coastline is reflected as 386cm. The size of the country when drawn on another map with different scale, is 10923.2cm^2. Find the length of coastline reflected on the second map.
I don't know how to do this question. But i know that the real size of the country is 6.827x10^12 cm^2, and the coastline is 1930000000cm. But i don't know how to make use of this to find the scale of the second map.
To solve this problem, you first need to find the scale factor between the two maps. From the given information, we know that the size of the country on the first map (1:50000 scale) is 2730.8 cm^2.
To find the size of the country on the second map, you can use the scale factor. Let's call the scale factor between the two maps "x". Therefore, the size of the country on the second map is equal to the size on the first map multiplied by the scale factor (x).
2730.8 cm^2 * x = 10923.2 cm^2
Next, we can solve for the scale factor (x):
x = 10923.2 cm^2 / 2730.8 cm^2
x = 4
Now that we know the scale factor, we can use it to find the length of the coastline on the second map. We are given that the coastline on the first map is 386 cm.
To find the length of the coastline on the second map, you can multiply the length on the first map by the scale factor (x).
Coastline on second map = 386 cm * 4
Coastline on second map = 1544 cm
Therefore, the length of the coastline reflected on the second map is 1544 cm.