A 60-meter length and 40-meter width make up a rectangle garden. It is intended to build two 4-meter-wide crosswalks that run parallel to the garden’s edges. These trails go through the garden’s middle. Calculate the two pathways’ construction costs at ...
To find the cost of constructing the two cross paths in the rectangular garden, we first need to determine the area of these paths. Dimensions of the Garden: Length = 60 metres Width = 40 metres Dimensions of the Paths: Each path is 4 metres wide and they are constructed parallel to the sides of theRead more
To find the cost of constructing the two cross paths in the rectangular garden, we first need to determine the area of these paths.
Dimensions of the Garden:
Dimensions of the Paths:
Each path is 4 metres wide and they are constructed parallel to the sides of the garden, passing through the center.
Area of the Paths:
Area of Vertical Path=Width×Length=4×40=160 square metres
Area of Horizontal Path=Width×Length=4×60=240 square metres
Total Area of the Paths:
Since the paths overlap in the center, we need to subtract the area of the overlapping section (which is a square of side 4 metres):
Area of Overlap=4×4=16 square metres
Total Area of Paths:
Total Area=Area of Vertical Path+Area of Horizontal Path−Area of Overlap Total Area=160+240−16=384 square metres
Cost of Construction:
Given the cost per square metre is ₹70:
Total Cost=Total Area×Cost per square metre=384×70=₹26,880
Conclusion:
The cost of constructing the two paths is ₹26,880.
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