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Step-by-step explanation:
Length of the rectangular park = 45m.
Breadth ( Width ) of the rectangular park = 30m.
Width of the path that is constructed outside the rectangular park = 2.5m.
Area of the path will be = Area of larger rectangle - Area of smaller rectangle
Length of smaller rectangle = 45m.
Breadth of smaller rectangle = 30m .
Length of the larger rectangle = 45 + 2 × 2.5 = 45 + 5 = 50m.
Breadth of the larger rectangle = 30 + 2 × 2.5 = 35 m.
Area of Smaller rectangle
l = 45m
b = 30m
Area of rectangle = (l×b) = 45 × 30 = 1350m²
Area of Larger rectangle
l = 50m
b = 35 m
Area of rectangle = (l×b) = 50 × 35 = 1750m²
Area of path
Area of path = Area of larger rectangle - Area of smaller rectangle
Area of path = (1750 - 1350)m² = 400m²
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