A rectangular Park is 50m long and 35m wide.a path 2m wide is constructed outside the Park. find the area of the path and the cost of constructing it at the rate of RS 350 per 10sqm.
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The area of the path is 356 m² and cost of constructing is Rs. 12460.
Step-by-step explanation:
Length of the rectangular park = 50 m
Width of the rectangular park = 35 m
Area of the rectangular park = 50 x 35 m² = 1750 m²
A path of 2 m wide is constructed outside the park.
Length of the park including path = 50 + 2 x 2 = 54 m
Width of the park including path = 35 + 2 x 2 = 39 m
Area of the park including path = 54 x 39 m² = 2106 m²
Area of the path = Area of the park including path - Area of the rectangular park
Area of the path = 2106 - 1750 = 356 m²
Cost of constructing the path per 10 m² = Rs. 350
Cost of constructing the path per 1 m² = Rs. = Rs. 35
Cost of constructing the path per 356 m ² = Rs. 356 x 35 = Rs. 12460
Hence, the area of the path is 356 m² and cost of constructing is Rs. 12460.
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Answer:
area is 356m,
cost of constructing is Rs.12460.
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