If a map has a scale of 1:50,000 and oil palm plantation is represented on the map by a rectangle 4cm by 3cm, what is the area of the plantation?
Answer Details
The scale of a map tells you how much smaller the map is compared to the actual size of the area being represented. In this case, 1cm on the map represents 50,000cm (or 500m) in real life.
To find the area of the oil palm plantation represented by a rectangle 4cm by 3cm on the map, we first need to convert the measurements on the map to real-life measurements.
The length of the rectangle in real life would be:
4cm x 500m/cm = 2000m
The width of the rectangle in real life would be:
3cm x 500m/cm = 1500m
To find the area of the plantation, we multiply the length by the width:
2000m x 1500m = 3,000,000 square meters
To convert square meters to square kilometers, we divide by 1,000,000:
3,000,000 square meters / 1,000,000 = 3 square kilometers
Therefore, the area of the oil palm plantation on the map is 3 square kilometers.
So the correct option is: 3sq. km.