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A house-shaped figure has corners (0, 0), (6, 0), (6, 4), (3, 7) and (0, 4). Find its area.

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • A33 sq units
  • B42 sq units
  • C24 sq units
  • D30 sq units

Step-by-Step Solution

Split it: rectangle , plus triangular roof with base 6 and height 7 − 4 = 3: ½ × . Total = 33 sq units. (42 uses as if it were a full rectangle.)
Answer: A) 33 sq units

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