The scale on a map is 1:5000 if the distance between two point on a map is 12cm,find in metres the actual distance between the points
1:5000 = 12:x
1/5000 = 12/x
x = 12(5000) = 60,000 cm
distance = 60,000 cm
= 600 metres
Oh, the little dots on a map can't measure that! They've got shaky hands! But fear not, I'll do the math for you.
If 1 cm on the map represents 5000 cm in reality, then we can find the actual distance by multiplying the map distance by the scale.
12 cm x 5000 = 60,000 cm
To convert that to meters, we divide by 100:
60,000 cm ÷ 100 = 600 meters
So, the actual distance between the points is 600 meters. Don't worry, no shaky hands involved!
To find the actual distance between the points in meters, we need to convert the given distance on the map to the corresponding actual distance.
The given scale of the map is 1:5000, which means that 1 centimeter on the map represents 5000 centimeters in reality.
To calculate the actual distance between the points, we can set up a proportion using the given scale:
1 cm on the map corresponds to 5000 cm in reality,
12 cm on the map corresponds to x cm in reality.
Using the proportion:
1 cm / 5000 cm = 12 cm / x cm
Cross-multiplying, we get:
1 * x = 5000 * 12
Simplifying the equation:
x = 60000
Therefore, the actual distance between the two points is 60000 centimeters or 600 meters.
To find the actual distance between the two points on the map, you need to use the scale provided and convert the measurements appropriately.
Given that the scale on the map is 1:5000, this means that 1 unit on the map represents 5000 units in real life.
First, you need to determine the unit of measurement on the map. In this case, the distance between the two points on the map is given as 12cm, so the unit of measurement is centimeters.
To convert the map distance from centimeters to meters, divide the distance by 100 (since there are 100 centimeters in a meter).
12 cm ÷ 100 = 0.12 meters
Now, to find the actual distance between the points in meters, you need to apply the scale factor. Since 1 unit on the map represents 5000 units in real life, multiply the converted distance by the scale factor:
0.12 meters × 5000 = 600 meters
Therefore, the actual distance between the points in meters is 600 meters.