Question

on map with a scale 1 cm to 10m, the area of the store is 80 cm2 . Diego says that the actual area of the store is 8000 m2 . Do you agree or disagree with Diego? Explain why you agree or disagree with Diego​

Answer 1

I disagree with Diego. The map scale indicates that 1 cm on the map represents 10 meters in reality. Therefore, if the area of the store on the map is 80 cm², the actual area of the store is 80 cm² * 10 m/cm = 800 m², not 8000 m². Diego's statement about the actual area being 8000 m² is incorrect; it should be 800 m² based on the given scale.

Answer 2

Based on the given information, the scale of the map is 1 cm to 10 m, and the area of the store on the map is 80 cm².

To determine the actual area of the store, we need to convert the scale from the map to the real world.

Since the scale is 1 cm to 10 m, we can set up a proportion to find the conversion factor:

1 cm / 10 m = 80 cm² / x m²

Cross-multiplying, we get:

1 * x m² = 10 m * 80 cm² x m² = 800 cm²

To convert cm² to m², we divide by 10,000 (since there are 10,000 cm² in 1 m²):

x m² = 800 cm² / 10,000 x m² = 0.08 m²

Therefore, the actual area of the store is 0.08 m².

Now, let's evaluate Diego's claim that the actual area of the store is 8000 m².

Based on our calculations, the actual area is 0.08 m², which is significantly smaller than 8000 m². Therefore, I disagree with Diego's claim that the actual area of the store is 8000 m².

In conclusion, I disagree with Diego's claim because the actual area of the store, based on the given scale of the map, is 0.08 m².