The scale on a map shows that 5 centimeters = 2 kilometers.
What is the area, in square kilometers, of a rectangular section of the map that measures 35 centimeters by 15 centimeters??
To find the area of the rectangular section on the map, we first need to find the actual dimensions in kilometers.
Given that 5 centimeters = 2 kilometers, we can set up a ratio to find the conversion factor:
5 cm / 2 km = 35 cm / x km
Cross multiply to solve for x:
5 * x = 2 * 35
5x = 70
x = 14
Therefore, the length of the rectangular section in kilometers is 14 km.
Using the same method for the width:
5 cm / 2 km = 15 cm / y km
5 * y = 2 * 15
5y = 30
y = 6
Therefore, the width of the rectangular section in kilometers is 6 km.
To find the area, multiply the length by the width:
Area = 14 km * 6 km = 84 square kilometers
Therefore, the area of the rectangular section on the map is 84 square kilometers.