# Problem with translation

Geometry Level pending

Points $$A(2, 2016)$$ and $$B(7, 2016)$$ form a triangle with the third point $$C(X_{C}, Y_{C})$$. The triangle's area is $$20$$. If point $$C$$ is translated by vector $$v(2016, 4)$$ into point $$C'$$, what will be the area of $$\triangle ABC'$$?

Also, it is known that $$Y_{C} > 2016$$ and $$X_{C} < 2016$$.

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