Question

On a map, villages A and B are marked 6 cm apart. The actual distance between them is 21 km. What is the scale of the map? Calculate the R.F. of map.​

Answer 1

Given:–

• Distance between A and B = 6 cm
• Actual distance between them or Distance on ground = 21 km

To find:–

• Scale of the map
• Representative fraction of the map

Formula used:–

• R.F. = Distance on map / Distance on ground

Topic:–

• Representative fractions

Lets understand the topic!!

A useful method of representing the scale is by fraction called representative fraction. It is the ratio between distances on a map and on the ground. Always remember that numerator is always 1.

Thus the numerator indicates us the corresponding distance on ground.

When scale of map is as a statement in a question so it can be converted into Representative fraction.

Step by step explaination:–

☯ As we know the distance on ground so we calculated the scale of map that is from 6 cm to 21 km or 1 cm to 5 km.

☯ Calculating the Representative fraction of the map that is by using the given formula...

R.F. = Distance on map / Distance on ground

Evaluating values...

→ 1 cm / 5×100000

Reducing to their lowest term...

→ 1 / 500000

Or

→ 1:400000

Extra information:–

• Scale of a map : Maps represent the surface of the earth on a small scale on a piece of paper.

• Maps : Maps are drawn to represent the earth as a whole or parts of it drawn to scale on a flat surface.