A square plot of land of side 80 m is represented on a scale drawing by a square whose perimeter is 16cm. What is the scale used?

Class: KCPE

Subject: Mathematics

Topic: Ratio and proportions

Lesson Summary

A square plot of land of side 80 m is represented on a scale drawing by a square whose perimeter is 16cm. What is the scale used?

A.1: 20000
B.1: 4000
C.1: 200
D.1: 2000



Text Answer


Perimeter of a square of side 1 cm is given by 4l cm.
For square on scale drawing 4l = 16
L = 4
Side of square on scale drawing represent 80 m on ground
4cm on scale drawing represent 80m on ground.
1 cm on scale drawing represents804= 20x100 cm = 2 000 cm.
Hence scale used is 1 : 2 000

The correct answer is B (1:2 000)

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