Question

Construct a graphical scale when the given R.F. is 1 : 50,000 and read the distances in kilometres and metres.

Answer 1

According to a standard, generally, a length of 15 cm is taken to draw a graphical scale. 1:50,000 means that 1 cm on map shows 50,000 cm on ground. In other words, 1 cm shows 50,000 cm.

15 cm shows `50,000 xx 15/(1,00,000)`

15 cm = 7.5 km

Since 7.5 km is not an integer, we can round it off to 5 or 10. Let us round it off to 5 km in this question.

Therefore, we need to perform the following calculations to express the scale in terms of a length of 5 km.

7.5 km is shown by a 15 cm line.

Therefore, for 5 km we can express it as `15 xx 5/7.5`

0.5 km will be shown by 1 cm on the line.

We can make the graph by following these steps:

First of all, draw a 10 cm line and divide it into 5 important parts. Except for one part from the left, let us give all parts a distance of one km. Now divide the first part into 10 equal parts, and each part will be equal to 100 meters. We can divide it into five parts as well and take one part as 200 metres and so on.