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The distance between two villages is 6.4 km. On the map of the region this distance is represented by a line 1.6 cm long. What is the scale of the map?

Class: KCPE

Subject: Mathematics

Topic: Scale drawing

Lesson Summary

The distance between two villages is 6.4 km. On the map of the region this distance is represented by a line 1.6 cm long. What is the scale of the map?

A.1 : 4
B.1 : 4 000
C.1 : 400 000
D.1 : 40 000



Text Answer


1.6 cm on the map represents 6.4 km on the ground
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To write the scale in ratio form we use similar units.

Convert 4 km to cm i.e 4 x 1000 x 100 = 400 000cm

I cm on the map represents 400 000 cm on the ground

The scale is 1 : 400 000

The correct answer is C ( 1: 400 000)

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