A particle of mass 50 g participates in two simple harmonic oscillations simultaneously as given by x_(1) = 10 (cm) cos [80 pi(s^(-1))t] and x_(2) = 5(cm) sin [(80 pi(s^(-1))t + pi//6]. The amplitude of particle's oscillations is given by 'A'. Find the value of A^(2) (in cm^(2)).
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