100 per m.
A rectangular park is 55 m by 25 m. A path 2.5 m wide is built all around it inside it.
Find the cost of grassing the remaining part of the park * 60 per m.
Answers
Given :
• Length of the rectanglular park = 55 m
• Breadth of the rectangular park = 25 m
• Width of the path constructed outside the garden = 2.5 m
To find :
• Cost of grassing the remaining part of the park at the rate of Rs. 60
Solution :
Firstly, we will calculate the area of rectanglular park :-
Using formula,
Area of rectangle = l × b
where,
• l denotes the length of the rectangle
• b denotes the breadth of the rectangle
Substituting the given values,
⟶ Area of the rectanglular park = 55 × 25
⟶ Area of the rectangular park = 1375
Therefore, the area of rectanglular park = 1375 m²
Dimensions of the rectangular park including the path :-
⟶ Length = 55 + (2.5 + 2.5)
⟶ Length = 60 m
⟶ Breadth = 25 + (2.5 + 2.5)
⟶ Breadth = 30 m
⟶ Area of the rectanglular park including the path = l × b
⟶ Area of the rectanglular park including the path = 60 × 30
⟶ Area of the rectanglular park including the path = 1800
Therefore, the area of rectanglular park including the path = 1800 m²
Area of the path = Area of the rectanglular park including the path - Area of the rectangular park
⟶ Area of the path = 1800 - 1375
⟶ Area of the path = 425
Therefore, area of the path = 425 m²
Cost of grassing the remaining part of the park = Rate × Area
⟶ Cost = 60 × 425
⟶ Cost = 25,500
Therefore, cost of grassing the remaining part of the park = Rs. 25,500