A map is drawn with the scale $$ 17 \mathrm{~cm}=50 \mathrm{~km} $$. How long would 240 km appear on the map?

Question

UpStudy AI · Accepted Answer

Given the scale $$ 17 \mathrm{~cm} = 50 \mathrm{~km} $$, we need to find the map length $$ x $$ corresponding to $$ 240 \mathrm{~km} $$.

1. Set up the proportion based on the scale:
   $$
   \frac{17 \mathrm{~cm}}{50 \mathrm{~km}} = \frac{x \mathrm{~cm}}{240 \mathrm{~km}}
   $$

2. Cross multiply to solve for $$ x $$:
   $$
   17 \times 240 = 50 \times x
   $$
   $$
   4080 = 50x
   $$

3. Divide both sides by 50 to isolate $$ x $$:
   $$
   x = \frac{4080}{50} = 81.6 \mathrm{~cm}
   $$

Thus, $$ 240 \mathrm{~km} $$ would appear as $$ 81.6 \mathrm{~cm} $$ on the map.
On the map, 240 km would be represented by 81.6 cm.

A map is drawn with the scale \( 17 \mathrm{~cm}=50 \mathrm{~km} \). How long would 240 km appear on the map?