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First, we need to convert the dimensions of the map to kilometers using the scale.
35 centimeters = 35/5 = 7 kilometers
15 centimeters = 15/5 = 3 kilometers
Now, we can calculate the area of the rectangular section:
Area = length x width
Area = 7 km x 3 km
Area = 21 square kilometers
Therefore, the area of the rectangular section of the map is 21 square kilometers.