Trapezium extended

Geometry Level 3

In the image above, A E ⊥ E D , E A ⊥ A B , C E ⊥ D E , B F ⊥ C F , A B ⊥ B F , C F ⊥ C D and, B C = 5 2 units AE \perp ED, EA \perp AB, CE \perp DE, BF \perp CF, AB \perp BF, CF \perp CD \\ \text{and, } BC = 5\sqrt[]{2} \text{units} .

If A E = E D AE = ED and Δ A B F , Δ B F C , Δ F C D \Delta ABF, \Delta BFC, \Delta FCD are 3 congruent triangles find the area of pentagon A B C D E ABCDE .


The answer is 87.5.

Viki Zeta by Viki Zeta , 19, India

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