MHB What is the Surface Area of a Square with Given Points and Side Lengths?

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Let E, F be such points inside the ABCD square that | ∢AEF | = | ∢EFC | = 90∘ and | AE | = 2, | CF | = 6 and | EF | = 6. Calculate the surface of ABCD.
 
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$|AC| = 10$ ... see what you can do with that piece of information
 
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