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Question

Given DEF ABC. If AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm, then the perimeter of DEF is ____.


A

16 cm

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B

15 cm

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C

20 cm

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D

17 cm

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Solution

The correct option is B

15 cm


Given DEF ABC.

ABDE=ACDF=BCEF

3DE=2.5DF=24 =12

Perimeter (ABC)Perimeter (DEF)=12

7.5Perimeter (DEF)=12 .......(ratio of perimeters of similar triangles)

Perimeter (DEF) = 15 cm


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