A 2 m-wide pathway is to be constructed all around on the inside of a rectangular plot whose area is 96 m². If the rate of construction is Rs. 50 per m², what is the total cost?
A 2 m-wide pathway is to be constructed all around on the inside of a rectangular plot whose area is 96 m². If the rate of construction is Rs. 50 per m², what is the total cost?
Explanation
Outer dimensions: 16 m by 6 m → area = 96 m²
Inner rectangle (after 2 m margin on each side):
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Length = 16 − 2 − 2 = 12 m
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Breadth = 6 − 2 − 2 = 2 m
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Inner area = 12 × 2 = 24 m²
Area of pathway: 96 − 24 = 72 m²
Cost: 72 m² × Rs. 50/m² = Rs. 3 600