On a certain map, 1 inch represents 2 kilometers. A region is located on the map that is 1.5 inches by 4.0 inches. What is the actual area of the region in square miles if 1 kilometer is equal to 0.6 mile?

Answer

To solve the problem, we need to follow these steps:

### Step 1: Convert the dimensions from inches to kilometers
Given that 1 inch represents 2 kilometers, we can convert the dimensions of the region on the map:

- Length: 1.5 inches
- Width: 4.0 inches

Calculating the actual dimensions in kilometers:
- Length in kilometers = 1.5 inches × 2 km/inch = 3 km
- Width in kilometers = 4.0 inches × 2 km/inch = 8 km

### Step 2: Calculate the area in square kilometers
Now that we have the dimensions in kilometers, we can calculate the area of the region:

Area (in square kilometers) = Length × Width
Area = 3 km × 8 km = 24 km²

### Step 3: Convert the area from square kilometers to square miles
We know that 1 kilometer is equal to 0.6 miles. Therefore, to convert square kilometers to square miles, we can use the conversion factor:

1 km² = (0.6 miles)² = 0.36 miles²

Now, we can convert the area:
Area (in square miles) = Area (in km²) × 0.36
Area = 24 km² × 0.36 = 8.64 miles²

### Final Answer
The actual area of the region is **8.64 square miles**.

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