please answer the first question step by step please
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Area of the path = 200 m²
Step-by-step explanation:
Lown Length = 30m
Lown width = 16 m
Path width sorounding the lown = 2 m from each side.
Dimension of the outline of the path can be calculated by adding the width of the path from both sides to lown's length and width.
∴ Outside length of the path = 30 + 2 + 2 = 34 m
∴ Outside width of the path = 16 + 2 + 2 = 20 m
Area of the path = Combined area of road & lown - Ara of the lown
As we know, area of the rectangle = Length × width
∴ Area of the path = (Lenght × width) of outline of the path - (length × width) of lown
∴ Area of the path = (34 × 20) - (30 × 16)
∴ Area of the path = 680 - 480
∴ Area of the path = 200 m²
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