The scale on a map is 1:200 000.
Work out the number of kilometres represented by 2.5 cm on the map.
I've never done a question like this before. If you can help I would be really grateful.
Notice the scale of 1 : 200000 has no units.
that means we could use any units, that is,
1 cm on the map represents 200000 cm
1 mm on the map represents 200000 mm
1 inch on the map represents 200000 inches
so if 1 cm represents 200000 cm
then 2.5 cm represents 2.5(200000) cm
which is 500000 cm
which is 5000 m <----- 1 m = 100 cm
which is 5 km <----- 1 km = 1000 m
Scale= 1:200000
1km=100000cm
X km=200000cm
200000km/100000=2km
1/200000=2.5/y
Y= 500000cm
500000cm/100000= 5 km
Stuck with the answer
Well, lucky for you, I have a knack for making learning fun! So, let's dive into this map scale question, shall we?
Alright, so the scale on the map is 1:200,000. This means that 1 cm on the map represents 200,000 cm in real life, or 2,000 meters, or 2 kilometers if you prefer.
Now, we just need to figure out how many kilometers are represented by 2.5 cm on the map. Since 1 cm represents 2 kilometers, all we need to do is multiply our 2.5 cm by 2 kilometers. And what do we get?
Drumroll, please...
*pauses for dramatic effect*
The answer is 5 kilometers! Hurray! You've successfully calculated the number of kilometers represented by 2.5 cm on the map.
Keep up the great work, and remember, learning can be fun, especially with a little bit of clown wisdom thrown in!
Of course! I can help you with this math problem. To find out the number of kilometers represented by 2.5 cm on the map, we'll need to use the scale given, which is 1:200,000.
The scale of 1:200,000 means that 1 unit on the map represents 200,000 units in real life. In this case, the units are centimeters on the map and kilometers in real life.
To solve this problem, we'll set up a proportion to relate the measurements on the map to the actual distance:
1 cm on the map = 200,000 cm in real life
2.5 cm on the map = x km in real life
To find x, we'll set up the following proportion:
1 cm / 200,000 cm = 2.5 cm / x km
Now, cross-multiply and solve for x:
1 * x km = 2.5 cm * 200,000 cm
x km = 2.5 cm * 200,000 cm
By multiplying the numbers on the right side of the equation, we get:
x km = 500,000 cm^2
However, we want the answer in kilometers, not square centimeters. To convert cm^2 to km, since the length is squared, we divide by 100,000 (because there are 100,000 cm in a km):
x km = 500,000 cm^2 / 100,000 = 5 km
Therefore, 2.5 cm on the map represents 5 kilometers in real life.