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.

I came up with the answer 0.3. Is this correct?

.3km is correct.

Yes. You're right.

How do you work it out

To find the actual perimeter of the pond in kilometers, we need to convert the given perimeter on the map to its actual value using the scale provided.

The given scale 1:2500 means that 1 unit on the map represents 2500 units in reality. In this case, the units are centimeters (cm) on the map and kilometers (km) in reality.

So, to find the actual perimeter of the pond in kilometers, we need to divide the perimeter on the map (12 cm) by the scale factor (2500).

Actual perimeter = (Perimeter on map) / Scale factor

Plugging in the values, we have:

Actual perimeter = 12 cm / 2500 = 0.0048 km

Therefore, the actual perimeter of the pond is 0.0048 km.

Now, let's check your answer of 0.3 km:

Actual perimeter = 0.3 km

If we want to convert this to centimeters to compare directly with the given perimeter on the map, we need to multiply 0.3 km by 100,000 (since there are 100,000 centimeters in a kilometer).

0.3 km * 100,000 = 30,000 cm

As we can see, 30,000 cm is much larger than the given perimeter on the map (12 cm), indicating that your answer of 0.3 km is incorrect.

The correct actual perimeter of the pond is 0.0048 km.