Would you guys mind help me to solve this question? : 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 cm squared?what is the actual area in meter squared? I would like to see the way it is done not just answers.thank you.

1 answer

the real world has dimensions 1000 times as large as the map, so

4cm -> 4000cm = 40m
3cm -> 3000cm = 30m

the map area is 3cm * 4cm = 12 cm^2

the actual area is

40m * 30m = 1200 m^2

or, you can use the scale factor to figure the real area. Since area is length * width, the scale factor gets used twice, so the area's scale factor is 1000^2 = 1,000,000

3*4*1000000 = 12000000 cm^2
Divide that by 100^2 (cm^2/m^2) and you get

1200 m^2