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 m^{2}

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 m^{2}

Area of path = outer area of rectangle – inner area of rectangle

Area of path = 9711 – 8736 = 975 m^{2}

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