Ina a map 0.8 cm represents 8.8 km>How much distance will be represented by 80.5 cm?

Options

A. 805 km
B. 855.5 km
C. 644 km
D. non of these

Answer

To solve the problem step by step, we can follow the unitary method. Here’s how we can find out how much distance is represented by 80.5 cm on the map:

### Step 1: Understand the given information
We are given that:
- 0.8 cm on the map represents 8.8 km.

### Step 2: Find the distance represented by 1 cm
To find out how much distance is represented by 1 cm, we can use the ratio given:
\[ 1 \text{ cm} = \frac{8.8 \text{ km}}{0.8 \text{ cm}} \]

### Step 3: Calculate the distance for 1 cm
Now, we perform the division:
\[ 1 \text{ cm} = \frac{8.8}{0.8} \text{ km} \]
Calculating this gives:
\[ 1 \text{ cm} = 11 \text{ km} \]

### Step 4: Find the distance represented by 80.5 cm
Now that we know 1 cm represents 11 km, we can find out how much distance is represented by 80.5 cm:
\[ 80.5 \text{ cm} = 80.5 \times 11 \text{ km} \]

### Step 5: Perform the multiplication
Calculating this gives:
\[ 80.5 \times 11 = 885.5 \text{ km} \]

### Conclusion
Thus, the distance represented by 80.5 cm on the map is:
\[ \text{Distance} = 885.5 \text{ km} \]