Question

A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.

Answer 1

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of $\frac{1}{50000}$.

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

$\frac{1}{50000}$=$\frac{17.5 cm}{x cm}$ By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.