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To find the area of the rectangle with corners (0, 0), (5, 0), (5, 3) and (0, 3), Sunil added 5 + 3 + 5 + 3 and wrote 16 square units. What went wrong?

Class 9Coordinate GeometryCoordinate Geometry
  • ANothing — 16 square units is correct.
  • BHe should have added the four abscissae instead.
  • CHe used the wrong side lengths; both sides are 5 units.
  • DHe worked out the perimeter, not the area; the area is square units.

Step-by-Step Solution

Adding all four sides gives the perimeter, which is 16 units. Area needs length × breadth, and the sides here are 5 units and 3 units, so the area is 15 square units.
Answer: D) He worked out the perimeter, not the area; the area is square units.

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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