Answer
$12\ ft^2$
Work Step by Step
Based on the given information, we have $BC=\sqrt {100}=10\ ft, BG=GF=\sqrt {16}=4\ ft$, thus the area of triangle CGF is $\frac{1}{2}(CG)(GF)=\frac{1}{2}(10-4)(4)=12\ ft^2$
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