Question

On a map drawn to scale, 7 cm represents 280 km. How many kilometers are represented by a line 8 centimeters long?

Answer 1

To find out how many kilometers are represented by a line 8 centimeters long, we can set up a proportion based on the scale provided.

The scale given is:
- 7 cm represents 280 km.

We can express this relationship mathematically as follows:

\[
\frac{7 \text{ cm}}{280 \text{ km}} = \frac{8 \text{ cm}}{x \text{ km}}
\]

where \( x \) is the number of kilometers represented by 8 cm.

Now, we can cross-multiply to solve for \( x \):

\[
7 \text{ cm} \cdot x \text{ km} = 8 \text{ cm} \cdot 280 \text{ km}
\]
\[
7x = 2240
\]

Next, we divide both sides by 7 to find \( x \):

\[
x = \frac{2240}{7} = 320
\]

Thus, 8 centimeters on the map represents \( 320 \) kilometers.

\[
\boxed{320}
\]