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Question

Given DEF ABC. If AB = 4 cm, BC = 2 cm, CA = 3 cm and EF = 4 cm, then the perimeter of DEF is ____ cm.


A

18

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B

15

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C

16

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D

14

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Solution

The correct option is A

18


Given DEF ABC.

ABDE=ACDF=BCEF

4DE=3DF=24 =12

Perimeter (ABC)Perimeter (DEF)=12

9Perimeter (DEF)=12 .......(ratio of perimeters of similar triangles)

Perimeter (DEF) = 18 cm


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