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Questions below followed by three quantities. Find the relation between them. Quantity III: A path of 7 meter width is constructed around a circular garden of diameter 40 meter. What is the area of path? Quantity II: A path of 6 meter is constructed outside a rectangular park of dimension 46 m × 38 m. What is the area of the path? Quantity III: What is the area of the four walls of a room which is 25 m long, 16 m wide and 9 m high?

Questions below followed by three quantities. Find the relation between them. Quantity III: A path of 7 meter width is constructed around a circular garden of diameter 40 meter. What is the area of path? Quantity II: A path of 6 meter is constructed outside a rectangular park of dimension 46 m × 38 m. What is the area of the path? Quantity III: What is the area of the four walls of a room which is 25 m long, 16 m wide and 9 m high? Correct Answer Quantity I < Quantity II > Quantity III

Quantity I:

Inner radius = 20 meter

Outer radius = 27 meter

Area of path = Outer area - Inner area

⇒ 22/7 × (272 - 202)

⇒ 22/7 × (27 + 20)(27 - 20 )

⇒ 1034 m2

Quantity II:

Inner dimensions = 46 m × 38 m

Outer dimensions = 58 m × 50 m

Area of path = Outer area - inner area

⇒ (58 × 50) - (46 × 38)

⇒ 2900 - 1748

⇒ 1152 m2

Quantity III:

Area of four walls = 2(l + b) × h

⇒ 2 × (28 + 16) × 9

⇒ 792 m2

∴ Quantity I < Quantity II > Quantity III

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