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A rectangular grassy plot is 112 m long and 78 m broad. It has gravel path 2.5 m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.
Inner area of rectangle = length× breadth
Inner area of rectangle = 112× 78 = 8736 m2
Width of path = 2.5 m
Length of outer rectangle = 112 +2.5 + 2.5 = 117 m
Breadth of outer rectangle = 78 +2.5 + 2.5 = 83 m
Outer area of rectangle = length× breadth
Outer area of rectangle = 117 × 83
Outer area of rectangle = 9711 m2
Area of path = outer area of rectangle – inner area of rectangle
Area of path = 9711 – 8736 = 975 m2