2024 · Q50
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?
Elementary MathematicsQuadrilaterals and Polygons
- A24 square cm
- B30 square cm
- C36 square cm
- D40 square cm
Explanation
A quadrilateral with AB = BC and CD = DA is a kite, whose diagonals are perpendicular. Its area is half the product of the diagonals. Hence ½ × 6 × 12 = 36 sq cm, option (c).