the scale on a map is 1:2500, a pond is represented on the map as a shape whose perimeter is 12cms. Find the actual perimeter of the pond in kilometres. what is the full working out
Well since its a 1:2500 ratio, you would multiply 12cms by 2500. You then want to divide by 100, since there are 100 cm in a meter. Finally, divide that number by 1000, since there are 1000 meters in a kilometer
To find the actual perimeter of the pond in kilometers, we need to first convert the given scale from centimeters to kilometers.
Since 1 kilometer is equal to 100,000 centimeters, we can set up the following proportion:
1 kilometer / 100,000 centimeters = x kilometers / 1 centimeter
Simplifying the proportion, we have x = 1/100,000 kilometers per centimeter.
Now, let's calculate the actual perimeter of the pond:
Given: Perimeter on the map = 12 centimeters
Actual perimeter = Perimeter on the map × Scale conversion factor
Actual perimeter = 12 centimeters × 1/100,000 kilometers per centimeter
Actual perimeter = 12/100,000 kilometers
Therefore, the actual perimeter of the pond is 0.00012 kilometers.
To find the actual perimeter of the pond in kilometers, we need to use the given scale of 1:2500. Here's the step-by-step working:
1. Convert the perimeter on the map (12 cm) to the actual perimeter using the scale.
Actual perimeter = (Perimeter on map) x (Scale)
Actual perimeter = 12 cm x 2500
Actual perimeter = 30,000 cm
2. Convert the actual perimeter from centimeters to kilometers.
Since there are 100,000 centimeters in a kilometer:
Actual perimeter (km) = (Actual perimeter in cm) ÷ 100,000
Actual perimeter (km) = 30,000 cm ÷ 100,000
Actual perimeter (km) = 0.3 km
Therefore, the actual perimeter of the pond is 0.3 kilometers.