Answer :
150km squared
Step-by-step explanation:
1.5cm=7.5km 4cm=20km
7.5kmx20km=150km
The actual area of the farm is [tex]150 km^{2}[/tex]
In measuring distance on map, a map scale is usually used to relate what the actual distance is on ground to the distance on paper.
In this case, the map scale given is 1 cm to 5 km. This means:
Every 1 cm on the map represents 5 km of the actual distance on ground.
Given that a farm with a rectangular shape as shown in the image attached below, the farm measures 1.5 cm by 4 cm, it means,
Length of the farm on the map = 4 cm
Using the map scale, actual length of the farm would be:
[tex]4 \times 5 = 20 km[/tex]
Width of the farm on the map = 1.5 cm
Using the map scale, actual width of the farm would be:
[tex]1.5 \times 5 = 7.5 km[/tex]
Actual area of the farm = area of rectangle = [tex]length \times width[/tex]
[tex]20 \times 7.5 = 150 km^{2}[/tex]
Therefore, the actual area of the farm is [tex]150 km^{2}[/tex]
Learn more on scale of a map here:
https://brainly.com/question/15718771
