Question

On a map, each entimeter represents 50 m. The area of a rectangular park on the map is 6 cm². Tameka says that to find the area of the actual park, she can multiply the area of the park on the map by 2,500. Do you agree or disagree? Explain​

Answer 1

To find the actual area of the park, we need to use the scale of the map and convert the area on the map to square meters by multiplying it by the square of the scale factor, which is (50 meters)^2 = 2,500 square meters.

Step-by-step explanation:

The student in question is trying to find the area of an actual park given the area of the park on a map. The student suggests that they can find the actual area of the park by multiplying the area on the map by 2,500.

However, this is incorrect. To find the actual area of the park, we need to use the scale of the map. In this case, each centimeter on the map represents 50 meters. So, to find the actual area of the park, we need to convert the area on the map to square meters by multiplying it by the square of the scale factor, which is (50 meters)^2 = 2,500 square meters.

Therefore, multiplying the area on the map by 2,500 will give us the actual area of the park.