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? Responses
A 84
B 72
C 49
D 525
B. 72 square kilometers
To find the area of the rectangular section on the map, you first calculate the area in square centimeters using the measurements given (35 cm by 15 cm) and then convert that to square kilometers using the scale.
Area in square centimeters:
35 cm * 15 cm = 525 square centimeters
Now, we convert to square kilometers:
Since 5 centimeters = 2 kilometers,
1 square centimeter = (2/5)^2 square kilometers = 4/25 square kilometers.
525 square centimeters * (4/25 square kilometers per square centimeter) = 4200/25 = 168 square kilometers
So, the area of the rectangular section on the map is 168 square kilometers.