The scale of a map is 1 inch : 10 miles. What is the scale of the map area to the actual area?
1 inch= 10 miles
1 inch * 1 inch = 1 in^2 = 10 miles * 10 miles = 100 miles^2
so
1 in^2 is 100 mi^2
To determine the scale of the map area to the actual area, we need to compare the scale of distances on the map to the scale of distances in the actual area.
The given scale of the map is 1 inch : 10 miles. This means that 1 inch on the map represents 10 miles in the actual area.
To find the scale of the map area to the actual area, we need to compare the distance of an area on the map to the corresponding distance in the actual area.
For example, if the length of the map area is 2 inches, we can use the given scale to find the corresponding distance in the actual area.
Length in actual area = Length on map × Scale
In this case, the length in the actual area would be:
Length in actual area = 2 inches × 10 miles/1 inch
Simplifying the equation gives:
Length in actual area = 20 miles
So, the scale of the map area to the actual area is 1:20, which means that 1 unit of distance on the map represents 20 units of distance in the actual area.