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A rectangular garden is marked on a grid with corners at (1, 1), (8, 1), (8, 5) and (1, 5), where 1 unit stands for 1 metre. How many metres of fencing are needed to go once around it?

Class 9Coordinate GeometryCoordinate Geometry
  • A28 m
  • B11 m
  • C24 m
  • D22 m

Step-by-Step Solution

The horizontal sides are 8 − 1 = 7 m and the vertical sides are 5 − 1 = 4 m. Fencing once around means the perimeter: 2 × (7 + 4) = 22 m. (28 would be the area in square metres.)
Answer: D) 22 m

Key idea: Reading coordinates

Given a point on a graph:
1. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
2. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
3. Combine: .

Reverse if you're given coordinates: read first (horizontal direction), then (vertical direction). Don't swap their roles.

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