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The vertices of A B C are A(4,\ 6),\...

The vertices of ` A B C` are `A(4,\ 6),\ \ B(1,\ 5)` and `C(7,\ 2)` . A line is drawn to intersect sides `A B` and `A C` at `D` and `E` respectively such that `(A D)/(A B)=(A E)/(A C)=1/4` . Calculate the area of ` A D E` and compare it with the area of ` A B C` .

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