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A rectangular plot measures 125m by 78m. It has gravel path 3m wide all around on the outside. Find the area of the path and the cost of gravelling it at ₹ 75 per m^2. Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Given:

Length of the plot = 125 m

The breadth of the plot = 78 m Area of plot ABCD = Length × Breadth

= 125 x 78

= 9750 m^2

Length of the plot including the path= (125 + 3 + 3) m = 131 m

Breadth of the plot including the path = (78 + 3 + 3) m = 84 m

Now,

Area of plot PQRS including the path = Length × Breadth

= (131 × 84)

= 11004 m^2

Area of path = Area of plot PQRS - Area of plot ABCD

= 11004 – 9750

= 1254 m^2

Cost of gravelling = ₹75 per m^2

Cost of gravelling the whole path = ₹ (1254 × 75) = ₹ 94050

Hence, cost of gravelling the path is ₹ 94050.

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