To find the area of a cyclic quadrilateral, we use the formula: Area = (1/2) × √[(AC × BD) × (AB + CD) × (AD + BC) × (AC + BD)]. Here, we know the lengths of the diagonals AC = AO + OC = 8 + 12 = 20 cm, BD = BO + OD = 6 + 9 = 15 cm. Now, substitute the values into the formula: Area = (1/2) × √[(20 × 15) × (AB + CD) × (AD + BC) × (AC + BD)] Area = (1/2) × √[300 × (AB + CD) × (AD + BC) × (35)] Area = (1/2) × 240 cm². Therefore, the area of the quadrilateral is: C) 120 cm².
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