The scale Of A map is 1:1000.What are the actual Dimensions of a rectangle which appears as 4cm by 3cm on the map?What is the area on the map in cm2?What is the actual area in m2?
The actual rectangle would be 4000 cm by 3000 cm
which is 40 m by 30 m
I will let you calculate the area in both units.
Please how did you get it
To find the actual dimensions of the rectangle, we can use the scale of the map. The scale of 1:1000 means that every unit on the map represents 1000 of the same unit in real life.
1. Calculate the actual length of the rectangle: 4 cm * 1000 = 4000 cm
2. Calculate the actual width of the rectangle: 3 cm * 1000 = 3000 cm
Therefore, the actual dimensions of the rectangle are 4000 cm by 3000 cm.
To find the area on the map, we multiply the length by the width:
Area on the map = Length * Width = 4 cm * 3 cm = 12 cm²
To find the actual area in square meters, we need to convert the measurements from centimeters to meters:
1 meter = 100 centimeters
1. Convert the length from centimeters to meters: 4000 cm / 100 = 40 meters
2. Convert the width from centimeters to meters: 3000 cm / 100 = 30 meters
Therefore, the actual dimensions of the rectangle are 40 meters by 30 meters.
To find the actual area in square meters, we again multiply the length by the width:
Actual area = Length * Width = 40 meters * 30 meters = 1200 square meters.