Question

the real distance between a village shop and a park is 1.8km. the distance between them on the map is 3cm. what is the scale of the map? write your answer in its simplest form.

Answer 1

The scale of the map is found by dividing the map distance by the real distance, which results in a scale of 1:60,000, meaning each centimeter on the map represents 60,000 real-world centimeters.

Step-by-step explanation:

The scale of the map is calculated as the ratio of the map distance to the actual distance. First, we convert the real distance from kilometers to centimeters to match the map's units. Since there are 100,000 centimeters in one kilometer (1 km = 100,000 cm), we multiply 1.8 km by 100,000 cm/km to get 180,000 cm. Then, we divide the map distance in centimeters by this actual distance in centimeters to find the scale.

Scale = Map Distance / Real Distance = 3 cm / 180,000 cm = 1/60,000

The scale of the map is 1:60,000. This means that each centimeter on the map represents 60,000 centimeters in reality.