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ABCD has vertices A(−2, −1), B(4, −1), C(4, 2) and D(−2, 2). What is the area of ABCD?

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • A9 sq units
  • B18 sq units
  • C30 sq units
  • D24 sq units

Step-by-Step Solution

AB = 4 − (−2) = 6 and BC = 2 − (−1) = 3, so ABCD is a 6 by 3 rectangle. Area = 18 sq units. (9 adds the two sides; 24 wrongly takes BC as 4.)
Answer: B) 18 sq units

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