In a quadrilateral ABCD, AB = BC and CD = DA; AC and BD are diagonals such that AC = 6 cm and BD = 12 cm. What is the area of the quadrilateral?
A.24 square cm
B.30 square cm
C.36 square cm✓ Correct
D.40 square cm
Explanation
Since AB = BC and CD = DA, the quadrilateral is a kite with BD as the axis of symmetry. The diagonals of a kite are perpendicular, so area = (1/2) × d₁ × d₂ = (1/2) × 6 × 12 = 36 sq cm.
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