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A rhombus has its vertices at (0, 2), (5, 0), (0, −2) and (−5, 0). What is its area?

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • A14 sq units
  • B10 sq units
  • C40 sq units
  • D20 sq units

Step-by-Step Solution

The diagonals lie on the axes: horizontal diagonal = , vertical diagonal = . Area = ½ × sq units. (40 forgets the ½.)
Answer: D) 20 sq units

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