a rectangular garden is 70m long and 55m broad. a path 3m is to be built around it . find the area of path and the cost of gravelling it at the rate of 17rupees per meter square?
Answers
The area of the path is 786 m².
The cost of gravelling the path is Rs 13362.
Explanation:
The length of the garden = 70 m
The breadth of the garden = 55 m
∴ The area of the garden =(Length × Breadth)
= (70×55) m²
= 3850 m²
The length of the garden with the path_
(70+3+3) m [∵ Since the path is around the garden so the dimension will increase from all the sides.]
= 76 m
The breadth of the garden with the path_
(55+3+3) m [∵ Since the path is around the garden so the dimension will increase from all the sides.]
= 61 m
∴ The area of the garden with the path = (Length×Breadth)
= (76×61) m²
= 4636 m².
∴ The area of the path is = (Area of the garden with the path - Area of the garden)
= (4636-3850) m²
= 786 m²
∴ The area of the path is 786 m².
The cost of gravelling 1 m² is Rs 17.
∴ The cost of gravelling 786 m² is _
Rs(17×786)
= Rs 13362
∴ The cost of gravelling the path is Rs 13362.
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Answer:
3850 m square (area of the garden)
70+3+3
76m
55+3+3
61m
76x61
4636
4636-3850
786m square
cost 13362