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?

First, we need to convert the dimensions of the rectangular section from centimeters to kilometers using the scale given.

Length of the section:
35 centimeters * (2 kilometers / 5 centimeters) = 14 kilometers

Width of the section:
15 centimeters * (2 kilometers / 5 centimeters) = 6 kilometers

Now, calculate the area of the rectangular section:
Area = length * width
Area = 14 kilometers * 6 kilometers
Area = 84 square kilometers

Therefore, the area of the rectangular section on the map is 84 square kilometers.