Answer
$ 53900 \,in^2$
Work Step by Step
$B = 180-(A+C) = 47.8^\circ$
$S = \dfrac{c^2 \sin{A} \sin{B}}{2\sin{C}} = \dfrac{(240)^2 \sin{110.4} \sin{47.8}}{2\sin{21.8}}$
$S = 53900 \,in^2$
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