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A rectangle has vertices (0, 0), (7, 0), (7, 4) and (0, 4). What is its area, in square units?

Class 9Coordinate GeometryCoordinate Geometry
  • A28
  • B22
  • C11
  • D14

Step-by-Step Solution

The horizontal side runs from to , so it is 7 units long, and the vertical side runs from to , so it is 4 units long. Area = square units. (22 would be the perimeter.)
Answer: A) 28

Key idea: Plotting a point

To plot :
1. Start at the origin.
2. Move units along the -axis (right if positive, left if negative).
3. Move units along the -axis (up if positive, down if negative).
4. Mark the point.

Example: (3, −2). From origin, 3 right, 2 down. Lands in quadrant IV.

**Coordinates are ordered**: (3, 2) and (2, 3) are different points.

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