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Find the area, in square units, of the quadrilateral whose vertices taken in order are (0, 0), (6, 0), (8, 5) and (0, 5).

Competition practiceAreas & Volumes
  • A70
  • B30
  • C40
  • D35

Step-by-Step Solution

The side from (0, 0) to (6, 0) lies on and the side from (0, 5) to (8, 5) lies on , so the figure is a trapezium with parallel sides 6 and 8 units and height 5 units. Area = ½ × square units. (The shoelace sum 0 + 30 + 40 + 0 = 70, halved, gives the same result.)
Answer: D) 35

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