a rectangular park measuring 120 m by 60 m surrounded by a path 5 m wide outside it. Find the cost of paving the path withh gravel at the rate of ₹20 per square.
Answers
Answer:
38000 rupees
Step-by-step explanation:
Area of the rectangular park is
120m × 60m = 7200 square meter
dimensions of the rectangular park with surrounding path is
120 + 5 + 5 = 130
60 + 5 + 5 = 70
area of the rectangular park with surrounding path is
130m × 70m = 9100 square meter
area of path is
area of rectangular park with path - area of the rectangular path
= 9100 - 7200 = 1900 square meter
cost of paving the path with gravel is
1900 × 20 rupees = 38000 rupees
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Given:
Length of the plot = 125 m
Breadth of the plot = 78 m
Area of plot ABCD=Length×Breadth
=125×78 =9750m^2
Length of the plot including the path =(125+3+3)m=131m
Breadth of the plot including the path =(78+3+3)m=84m
Now,
Area of plot PQRS including the path =Length×Breadth
=(131×84)
=11004m^2
Area of path = Area of plot PQRS − Area of plot ABCD
=11004-9750
=1254m^2
Cost of gravelling =RS75 per m^2
Cost of gravelling the whole path =RS(1254×75)=RS94050
Hence, cost of gravelling the path is RS 94050.
solution
