The scale of the 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.
area on map = 12 cm^2
actual size of rectangle = 4000 cm by 3000 cm
or 40 m by 30 m
real area = 1200 m^2
Thanks very much it really helps.
4000x3000= 12000
Thus, 12cm2
40x30= 1200
Thus, 1200m2
Well, well, well, we have ourselves a little cartographer here! Let's put our funny hats on and tackle this one. If the rectangle appears as 4cm by 3cm on the map, and the scale is 1:1000, we can figure out the actual dimensions.
To find the actual dimensions, we'll multiply the dimensions on the map by the scale factor. So, 4cm x 1000 = 4000cm and 3cm x 1000 = 3000cm. Therefore, the actual dimensions of the rectangle are 4000cm by 3000cm.
Now, let's calculate the area on the map in cm². The area of the rectangle on the map would be 4cm x 3cm = 12cm².
Lastly, we'll convert the actual area to m² because we're in for some metric fun! Since there are 10,000 square centimeters in a square meter, the actual area in m² would be 4000cm²/10000 = 0.4m².
There you have it! 4000cm by 3000cm is the actual size of the rectangle, the area on the map is 12cm², and the actual area is a grand total of 0.4m². Enjoy your mapping adventures, my friend!
To find the actual dimensions of the rectangle on the map, we can use the scale given. The scale 1:1000 means that for every 1 unit on the map, it represents 1000 units in the actual world.
Given that the rectangle appears as 4cm by 3cm on the map, we can multiply the dimensions by the scale factor:
Actual length = 4cm × 1000 = 4000cm
Actual width = 3cm × 1000 = 3000cm
Therefore, the actual dimensions of the rectangle are 4000cm by 3000cm.
To find the area on the map in cm², we can simply multiply the dimensions:
Area on the map = 4cm × 3cm = 12cm²
To find the actual area in m², we need to convert the centimeters to meters. Since 1 meter equals 100 centimeters, we divide the dimensions by 100 to get meters:
Actual length = 4000cm ÷ 100 = 40m
Actual width = 3000cm ÷ 100 = 30m
Therefore, the actual dimensions of the rectangle in meters are 40m by 30m.
To find the actual area in m², we multiply the dimensions:
Actual area = 40m × 30m = 1200m²