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??

1 answer

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.