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In the diagram below, BE = EC = DF and ADF has the same area as DEF  If rectangle DXYF has area 40, what is the area of DEF?

 

 Jun 8, 2022
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Note that triangles DXE  and  EYF  have the same height as triangle  DEF  and their combined bases = DF

 

So.....their total areas must be the same as  the area of  triangle  DEF

 

Since rectangle  DXYF  =  40......then it is composed of two equal areas .....

 

 So.......[ DEF  ]   =  40   / 2    =  20

 

 

cool cool cool

 Jun 8, 2022

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