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Rectangle ABCD is drawn on the Cartesian plane (each grid square is 1 unit). What is its perimeter?

Class 9Coordinate GeometryCoordinate Geometry
  • A28 units
  • B11 units
  • C22 units
  • D18 units

Step-by-Step Solution

A to B is units; B to C is units. Perimeter units.
Answer: C) 22 units

Key idea: The Cartesian plane

Two perpendicular axes — horizontal -axis) and vertical -axis) — meet at the **origin** (0, 0). Together they divide the plane into four **quadrants**:

- **I**: > 0 (top right)
- **II**: > 0 (top left)
- **III**: < 0 (bottom left)
- **IV**: < 0 (bottom right)

Points ON the axes don't belong to any quadrant. (a, 0) sits on the -axis; (0, b) sits on the -axis.

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