# 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)**

Next: Ombete bought 48 mangoes, 38 pawpaws and 56 bananas for sh 300. He also spent sh 100 to transport them to the market.

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