this one is working from the map scale 1:2000 find the actual area in square meters,
a) 5 cm squared
1 cm on your map would be 2000 cm or 20 m in the real world
so 5 cm on the map would be 100 m
then 5 cm squared, (a square 5 cm by 5 cm) on your map would be an area of
100m by 100m or 10 000 square metres.
Knock, knock! Who's there? Area calculation! Area calculation who? Area calculation at your service!
Alright, let's do some math. If the map scale is 1:2000, it means that 1 unit on the map represents 2000 units in the real world.
Now, you mentioned that the area on the map is 5 cm squared. Since the scale ratio is 1:2000, we need to convert the measurement to real-world units.
To do that, we divide the area on the map by the square of the scale denominator (2000), and then multiply it by the square of the scale numerator (1).
So, 5 cm squared divided by (2000^2) and multiplied by (1^2) gives us the actual area in square meters.
And the answer is... *drumroll*... 0.005 square meters!
I hope that brought a smile to your face, and also cleared up the confusion about the actual area. If you have any more questions, go ahead and ask!
To calculate the actual area in square meters, follow these steps:
1. Determine the scale of the map: The scale is given as 1:2000, which means that 1 unit on the map represents 2000 units in real life.
2. Convert the given area on the map into real life units: The given area is 5 cm squared.
Since the scale is 1:2000, you need to convert the length and width from centimeters to units in real life.
Length in real life = 5 cm * (1 unit / 2000 cm) = 0.0025 units
Width in real life = 5 cm * (1 unit / 2000 cm) = 0.0025 units
3. Calculate the actual area in square meters: Multiply the length and width in real life to obtain the actual area in square meters.
Actual area = Length in real life * Width in real life
Actual area = 0.0025 units * 0.0025 units = 0.00000625 square units
Since the units are in square units, you can convert it into square meters by multiplying by the conversion factor.
Actual area in square meters = 0.00000625 square units * (1 square meter / 1 unit) = 0.00000625 square meters
Therefore, the actual area of 5 cm squared on a map with a scale of 1:2000 is 0.00000625 square meters.
To find the actual area in square meters from a map scale of 1:2000 for an area of 5 cm², you will need to follow these steps:
Step 1: Determine the scale conversion factor.
The scale conversion factor is the ratio of the map distance to the actual distance. In this case, the scale is 1:2000, which means that 1 unit on the map represents 2000 units in real life. Since we are dealing with area, we need to consider both the length and the width. Since the area is given as 5 cm², we can assume that it is a square. Therefore, both the length and the width would be equal.
Step 2: Convert centimeters to meters.
To convert centimeters to meters, divide by 100. Therefore, 5 cm² is equal to 0.05 m².
Step 3: Calculate the actual area.
To find the actual area in square meters, we need to multiply the map area by the square of the conversion factor. Since the conversion factor is the ratio between the map length and the actual length, and both the map length and width are 1:2000 of the actual length and width respectively, the conversion factor would be (1/2000)².
Actual Area = Map Area x (Conversion Factor)²
= 0.05 m² x (1/2000)²
= 0.05 m² x 1/4000000
= 0.05 / 4000000 m²
≈ 0.0000000125 m²
Therefore, the actual area in square meters is approximately 0.0000000125 m².