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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?

 

 Jul 29, 2021
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Rectangle area of 40    has base = x     and height = 1/2 x

    x * 1/2 x = 40

        x = sqrt 80          triangle has height = 1/2 *sqrt  80   and base sqrt 80       area = 1/2 base * height = 20 units2

 Jul 29, 2021

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