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ObABD = 32 cm
2 * ObABD = 2 * 32 = 64
64 - 38 = 26
26 : 2 = 13
(AB + DA) = (BC + CD) = ½ 38 cm
(AB + DA) = (BC + CD) = 19 cm
(AB + DA) + BD = 32 cm
19 cm + BD = 32 cm
BD = 13 cm