The scale of a map is 9mm represent 1km on real ground. I found the area of the map and it is 19990mm2. How am I going to use the scale to find the area of the real ground? Thanks a lot!
If the scale is 9mm/1km, then the area scale is that squared, or 81squaremm per 1 km^2
Thank you so much for your help!
To find the area of the real ground using the scale of the map, you need to convert the area of the map to the corresponding area on the real ground.
Given that the scale is 9mm represents 1km on real ground, we can set up a ratio:
9mm/1km = x mm^2/A
Where x mm^2 is the given area of the map (19990mm^2), and A represents the area of the real ground.
To solve for A, we can cross-multiply and solve for A:
9mm * A = 1km * 19990mm^2
Multiplying the values:
9A = 19990km * mm
Now, we need to convert the units so that they are consistent. To convert km to mm, we need to remember that there are 1000m in 1km and 1000mm in 1m:
9A = 19990km * (1000m/km) * (1000mm/m)
Simplifying:
9A = 19,990,000,000 mm^2
Now divide both sides by 9 to solve for A:
A = 19,990,000,000 mm^2 / 9
A ≈ 2,221,111,111.11 mm^2
Therefore, the area of the real ground represented by the given map is approximately 2,221,111,111.11 mm^2.